101012111100100 has 72 divisors (see below), whose sum is σ = 219972540606336. Its totient is φ = 40261983600000.

The previous prime is 101012111100067. The next prime is 101012111100143. The reversal of 101012111100100 is 1001111210101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 33957775 + ... + 36812425.

It is an arithmetic number, because the mean of its divisors is an integer number (3055174175088).

Almost surely, 2^{101012111100100} is an apocalyptic number.

101012111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012111100100 is an abundant number, since it is smaller than the sum of its proper divisors (118960429506236).

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

101012111100100 is a wasteful number, since it uses less digits than its factorization.

101012111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855917 (or 2855910 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101012111100100 its reverse (1001111210101), we get a palindrome (102013222310201).

The spelling of 101012111100100 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred thousand, one hundred".