101012122001100 has 72 divisors (see below), whose sum is σ = 292294045195600. Its totient is φ = 26933588398080.

The previous prime is 101012122001081. The next prime is 101012122001101. The reversal of 101012122001100 is 1100221210101.

It is a super-2 number, since 2×101012122001100² (a number of 29 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 (101012122001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15889957 + ... + 21319356.

Almost surely, 2^{101012122001100} is an apocalyptic number.

101012122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012122001100 is an abundant number, since it is smaller than the sum of its proper divisors (191281923194500).

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

101012122001100 is a wasteful number, since it uses less digits than its factorization.

101012122001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37218379 (or 37218372 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012122001100 its reverse (1100221210101), we get a palindrome (102112343211201).

The spelling of 101012122001100 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, one thousand, one hundred".