102011031113120 has 96 divisors (see below), whose sum is σ = 242452794353616. Its totient is φ = 40559006924800.

The previous prime is 102011031113111. The next prime is 102011031113179. The reversal of 102011031113120 is 21311130110201.

It can be written as a sum of positive squares in 8 ways, for example, as 57994865470096 + 44016165643024 = 7615436^2 + 6634468^2 .

It is a super-2 number, since 2×102011031113120² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 31917560 + ... + 34967880.

Almost surely, 2^{102011031113120} is an apocalyptic number.

102011031113120 is a gapful number since it is divisible by the number (10) 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 102011031113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121226397176808).

102011031113120 is an abundant number, since it is smaller than the sum of its proper divisors (140441763240496).

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

102011031113120 is a wasteful number, since it uses less digits than its factorization.

102011031113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051594 (or 3051586 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 102011031113120 its reverse (21311130110201), we get a palindrome (123322161223321).

The spelling of 102011031113120 in words is "one hundred two trillion, eleven billion, thirty-one million, one hundred thirteen thousand, one hundred twenty".