10120111100010 has 80 divisors (see below), whose sum is σ = 27220750817832. Its totient is φ = 2697813993600.

The previous prime is 10120111099981. The next prime is 10120111100017. The reversal of 10120111100010 is 1000111102101.

It can be written as a sum of positive squares in 4 ways, for example, as 10093271814081 + 26839285929 = 3176991^2 + 163827^2 .

It is a super-2 number, since 2×10120111100010² (a number of 27 digits) contains 22 as substring.

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 = 10120111099965 and 10120111100001.

It is not an unprimeable number, because it can be changed into a prime (10120111100017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 438580 + ... + 4520240.

Almost surely, 2^{10120111100010} is an apocalyptic number.

10120111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120111100010 is an abundant number, since it is smaller than the sum of its proper divisors (17100639717822).

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

10120111100010 is a wasteful number, since it uses less digits than its factorization.

10120111100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084741 (or 4084732 counting only the distinct ones).

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

Adding to 10120111100010 its reverse (1000111102101), we get a palindrome (11120222202111).

The spelling of 10120111100010 in words is "ten trillion, one hundred twenty billion, one hundred eleven million, one hundred thousand, ten".