10111202011100 has 72 divisors (see below), whose sum is σ = 23165892288000. Its totient is φ = 3820037284800.

The previous prime is 10111202011093. The next prime is 10111202011139. The reversal of 10111202011100 is 111020211101.

10111202011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10111202011100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7409900 + ... + 8667699.

It is an arithmetic number, because the mean of its divisors is an integer number (321748504000).

Almost surely, 2^{10111202011100} is an apocalyptic number.

10111202011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111202011100 is an abundant number, since it is smaller than the sum of its proper divisors (13054690276900).

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

10111202011100 is a wasteful number, since it uses less digits than its factorization.

10111202011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16077963 (or 16077956 counting only the distinct ones).

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

Adding to 10111202011100 its reverse (111020211101), we get a palindrome (10222222222201).

The spelling of 10111202011100 in words is "ten trillion, one hundred eleven billion, two hundred two million, eleven thousand, one hundred".