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101010201012 = 22337148190217
BaseRepresentation
bin101111000010010101…
…1010101100110110100
3100122201120111212112000
41132010223111212310
53123332102413022
6114223051055300
710204061353650
oct1360453254664
9318646455460
10101010201012
1139924697076
12176b0141530
1396a9babb16
144c632a5a60
152962c836ac
hex1784ad59b4

101010201012 has 96 divisors (see below), whose sum is σ = 299494890240. Its totient is φ = 28840250880.

The previous prime is 101010201007. The next prime is 101010201013. The reversal of 101010201012 is 210102010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010200985 and 101010201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010201013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074528 + ... + 1164744.

It is an arithmetic number, because the mean of its divisors is an integer number (3119738440).

Almost surely, 2101010201012 is an apocalyptic number.

101010201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149747445120).

101010201012 is an abundant number, since it is smaller than the sum of its proper divisors (198484689228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101010201012 is a wasteful number, since it uses less digits than its factorization.

101010201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91718 (or 91710 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010201012 its reverse (210102010101), we get a palindrome (311112211113).

The spelling of 101010201012 in words is "one hundred one billion, ten million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1481 2962 4443 5924 8886 10367 13329 17772 20734 26658 31101 39987 41468 53316 62202 79974 90217 93303 124404 159948 180434 186606 270651 279909 360868 373212 541302 559818 631519 811953 1082604 1119636 1263038 1623906 1894557 2435859 2526076 3247812 3789114 4871718 5683671 7578228 9743436 11367342 17051013 22734684 34102026 68204052 133611377 267222754 400834131 534445508 801668262 935279639 1202502393 1603336524 1870559278 2405004786 2805838917 3607507179 3741118556 4810009572 5611677834 7215014358 8417516751 11223355668 14430028716 16835033502 25252550253 33670067004 50505100506 101010201012