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101020102212 = 223411871109741
BaseRepresentation
bin101111000010101000…
…1000110111001000100
3100122202021010220102010
41132011101012321010
53123342121232322
6114224043214220
710204241462301
oct1360521067104
9318667126363
10101020102212
113992a239a87
12176b3517370
1396abc67713
144c647220a8
152963a8c20c
hex1785446e44

101020102212 has 48 divisors (see below), whose sum is σ = 241593940224. Its totient is φ = 32834208000.

The previous prime is 101020102207. The next prime is 101020102217. The reversal of 101020102212 is 212201020101.

It is an interprime number because it is at equal distance from previous prime (101020102207) and next prime (101020102217).

It is a super-2 number, since 2×1010201022122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101020102217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865662 + ... + 975402.

It is an arithmetic number, because the mean of its divisors is an integer number (5033207088).

Almost surely, 2101020102212 is an apocalyptic number.

101020102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020102212 is an abundant number, since it is smaller than the sum of its proper divisors (140573838012).

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

101020102212 is a wasteful number, since it uses less digits than its factorization.

101020102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111660 (or 111658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020102212 its reverse (212201020101), we get a palindrome (313221122313).

The spelling of 101020102212 in words is "one hundred one billion, twenty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 1871 3742 5613 7484 11226 22452 76711 109741 153422 219482 230133 306844 329223 438964 460266 658446 920532 1316892 4499381 8998762 13498143 17997524 26996286 53992572 205325411 410650822 615976233 821301644 1231952466 2463904932 8418341851 16836683702 25255025553 33673367404 50510051106 101020102212