100111010100012 has 144 divisors (see below), whose sum is σ = 271214658816192. Its totient is φ = 31054823331840.

The previous prime is 100111010099981. The next prime is 100111010100043. The reversal of 100111010100012 is 210001010111001.

It is an interprime number because it is at equal distance from previous prime (100111010099981) and next prime (100111010100043).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111010099967 and 100111010100003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535944712 + ... + 536131472.

It is an arithmetic number, because the mean of its divisors is an integer number (1883435130668).

Almost surely, 2^{100111010100012} is an apocalyptic number.

100111010100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111010100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135607329408096).

100111010100012 is an abundant number, since it is smaller than the sum of its proper divisors (171103648716180).

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

100111010100012 is a wasteful number, since it uses less digits than its factorization.

100111010100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204328 (or 204323 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111010100012 its reverse (210001010111001), we get a palindrome (310112020211013).

The spelling of 100111010100012 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred thousand, twelve".