10201111011200 has 96 divisors (see below), whose sum is σ = 26682281130960. Its totient is φ = 3840418242560.

The previous prime is 10201111011187. The next prime is 10201111011239. The reversal of 10201111011200 is 211011110201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93705812 + ... + 93814611.

Almost surely, 2^{10201111011200} is an apocalyptic number.

10201111011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201111011200 is an abundant number, since it is smaller than the sum of its proper divisors (16481170119760).

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

10201111011200 is a wasteful number, since it uses less digits than its factorization.

10201111011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187520464 (or 187520447 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10201111011200 its reverse (211011110201), we get a palindrome (10412122121401).

Subtracting from 10201111011200 its reverse (211011110201), we obtain a palindrome (9990099900999).

The spelling of 10201111011200 in words is "ten trillion, two hundred one billion, one hundred eleven million, eleven thousand, two hundred".