101002122133100 has 72 divisors (see below), whose sum is σ = 230715320514000. Its totient is φ = 38273624064000.

The previous prime is 101002122133093. The next prime is 101002122133139. The reversal of 101002122133100 is 1331221200101.

It is a super-2 number, since 2×101002122133100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86915900 + ... + 88070300.

Almost surely, 2^{101002122133100} is an apocalyptic number.

101002122133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002122133100 is an abundant number, since it is smaller than the sum of its proper divisors (129713198380900).

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

101002122133100 is a wasteful number, since it uses less digits than its factorization.

101002122133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200483 (or 1200476 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101002122133100 its reverse (1331221200101), we get a palindrome (102333343333201).

The spelling of 101002122133100 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred".