10011111210120 has 64 divisors (see below), whose sum is σ = 30040034627520. Its totient is φ = 2669034011904.

The previous prime is 10011111210103. The next prime is 10011111210143. The reversal of 10011111210120 is 2101211111001.

It is a super-2 number, since 2×10011111210120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011111210096 and 10011111210105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8766739 + ... + 9842658.

It is an arithmetic number, because the mean of its divisors is an integer number (469375541055).

Almost surely, 2^{10011111210120} is an apocalyptic number.

10011111210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011111210120 is an abundant number, since it is smaller than the sum of its proper divisors (20028923417400).

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

10011111210120 is a wasteful number, since it uses less digits than its factorization.

10011111210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18613894 (or 18613890 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10011111210120 its reverse (2101211111001), we get a palindrome (12112322321121).

The spelling of 10011111210120 in words is "ten trillion, eleven billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".