10200211011120 has 160 divisors (see below), whose sum is σ = 34054967217600. Its totient is φ = 2510677020672.

The previous prime is 10200211011103. The next prime is 10200211011167. The reversal of 10200211011120 is 2111011200201.

10200211011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10200211011096 and 10200211011105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60534346 + ... + 60702614.

It is an arithmetic number, because the mean of its divisors is an integer number (212843545110).

Almost surely, 2^{10200211011120} is an apocalyptic number.

10200211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200211011120 is an abundant number, since it is smaller than the sum of its proper divisors (23854756206480).

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

10200211011120 is a wasteful number, since it uses less digits than its factorization.

10200211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187727 (or 187721 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10200211011120 its reverse (2111011200201), we get a palindrome (12311222211321).

The spelling of 10200211011120 in words is "ten trillion, two hundred billion, two hundred eleven million, eleven thousand, one hundred twenty".