103120111013100 has 72 divisors (see below), whose sum is σ = 298362350254080. Its totient is φ = 27498558415680.

The previous prime is 103120111013099. The next prime is 103120111013111. The reversal of 103120111013100 is 1310111021301.

It is a super-2 number, since 2×103120111013100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103120111013100.

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, 68325229 + ... + 69818171.

Almost surely, 2^{103120111013100} is an apocalyptic number.

103120111013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120111013100 is an abundant number, since it is smaller than the sum of its proper divisors (195242239240980).

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

103120111013100 is a wasteful number, since it uses less digits than its factorization.

103120111013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723199 (or 1723192 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 103120111013100 its reverse (1310111021301), we get a palindrome (104430222034401).

The spelling of 103120111013100 in words is "one hundred three trillion, one hundred twenty billion, one hundred eleven million, thirteen thousand, one hundred".