10111002002120 has 16 divisors (see below), whose sum is σ = 22749754504860. Its totient is φ = 4044400800832.

The previous prime is 10111002002069. The next prime is 10111002002161. The reversal of 10111002002120 is 2120020011101.

It can be written as a sum of positive squares in 2 ways, for example, as 10097764579204 + 13237422916 = 3177698^2 + 115054^2 .

It is a super-2 number, since 2×10111002002120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126387524987 + ... + 126387525066.

Almost surely, 2^{10111002002120} is an apocalyptic number.

10111002002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111002002120 is an abundant number, since it is smaller than the sum of its proper divisors (12638752502740).

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

10111002002120 is a wasteful number, since it uses less digits than its factorization.

10111002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252775050064 (or 252775050060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10111002002120 its reverse (2120020011101), we get a palindrome (12231022013221).

The spelling of 10111002002120 in words is "ten trillion, one hundred eleven billion, two million, two thousand, one hundred twenty".