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101020212012 = 223103912976247
BaseRepresentation
bin101111000010101000…
…1100001101100101100
3100122202021100111000210
41132011101201230230
53123342133241022
6114224045422420
710204242430356
oct1360521415454
9318667314023
10101020212012
113992a304525
12176b356aa10
1396abca56a5
144c647500d6
152963aaea0c
hex1785461b2c

101020212012 has 48 divisors (see below), whose sum is σ = 236160404480. Its totient is φ = 33609676032.

The previous prime is 101020211993. The next prime is 101020212031. The reversal of 101020212012 is 210212020101.

It is an interprime number because it is at equal distance from previous prime (101020211993) and next prime (101020212031).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16167873 + ... + 16174119.

Almost surely, 2101020212012 is an apocalyptic number.

101020212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020212012 is an abundant number, since it is smaller than the sum of its proper divisors (135140192468).

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

101020212012 is a wasteful number, since it uses less digits than its factorization.

101020212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8588 counting only the distinct ones).

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

Adding to 101020212012 its reverse (210212020101), we get a palindrome (311232232113).

The spelling of 101020212012 in words is "one hundred one billion, twenty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 1039 1297 2078 2594 3117 3891 4156 5188 6234 6247 7782 12468 12494 15564 18741 24988 37482 74964 1347583 2695166 4042749 5390332 6490633 8085498 8102359 12981266 16170996 16204718 19471899 24307077 25962532 32409436 38943798 48614154 77887596 97228308 8418351001 16836702002 25255053003 33673404004 50510106006 101020212012