10111021120 has 56 divisors (see below), whose sum is σ = 24315331608. Its totient is φ = 4004352000.

The previous prime is 10111021103. The next prime is 10111021153. The reversal of 10111021120 is 2112011101.

It can be written as a sum of positive squares in 4 ways, for example, as 496041984 + 9614979136 = 22272^2 + 98056^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10111021097 and 10111021106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124101 + ... + 188740.

Almost surely, 2^10111021120 is an apocalyptic number.

10111021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111021120 is an abundant number, since it is smaller than the sum of its proper divisors (14204310488).

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

10111021120 is a wasteful number, since it uses less digits than its factorization.

10111021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312959 (or 312949 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111021120 its reverse (2112011101), we get a palindrome (12223032221).

The spelling of 10111021120 in words is "ten billion, one hundred eleven million, twenty-one thousand, one hundred twenty".