10211120201120 has 96 divisors (see below), whose sum is σ = 24165081682560. Its totient is φ = 4077458795520.

The previous prime is 10211120201083. The next prime is 10211120201173. The reversal of 10211120201120 is 2110202111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211120201095 and 10211120201104.

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, 280591886 + ... + 280628274.

It is an arithmetic number, because the mean of its divisors is an integer number (251719600860).

Almost surely, 2^{10211120201120} is an apocalyptic number.

10211120201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211120201120 is an abundant number, since it is smaller than the sum of its proper divisors (13953961481440).

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

10211120201120 is a wasteful number, since it uses less digits than its factorization.

10211120201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39358 (or 39350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211120201120 its reverse (2110202111201), we get a palindrome (12321322312321).

The spelling of 10211120201120 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, two hundred one thousand, one hundred twenty".