100111001012010 has 48 divisors (see below), whose sum is σ = 260321071590216. Its totient is φ = 26692936786944.

The previous prime is 100111001011993. The next prime is 100111001012047. The reversal of 100111001012010 is 10210100111001.

It can be written as a sum of positive squares in 4 ways, for example, as 65973495473649 + 34137505538361 = 8122407^2 + 5842731^2 .

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 = 100111001011983 and 100111001012001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68652579 + ... + 70095638.

Almost surely, 2^{100111001012010} is an apocalyptic number.

100111001012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111001012010 is an abundant number, since it is smaller than the sum of its proper divisors (160210070578206).

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

100111001012010 is a wasteful number, since it uses less digits than its factorization.

100111001012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138756247 (or 138756244 counting only the distinct ones).

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

Adding to 100111001012010 its reverse (10210100111001), we get a palindrome (110321101123011).

The spelling of 100111001012010 in words is "one hundred trillion, one hundred eleven billion, one million, twelve thousand, ten".