10111011120100 has 36 divisors (see below), whose sum is σ = 23935520872368. Its totient is φ = 3676731316000.

The previous prime is 10111011120011. The next prime is 10111011120109. The reversal of 10111011120100 is 102111011101.

10111011120100 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 (10).

It is not an unprimeable number, because it can be changed into a prime (10111011120109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4595913046 + ... + 4595915245.

It is an arithmetic number, because the mean of its divisors is an integer number (664875579788).

Almost surely, 2^{10111011120100} is an apocalyptic number.

10111011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111011120100 is an abundant number, since it is smaller than the sum of its proper divisors (13824509752268).

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

10111011120100 is a wasteful number, since it uses less digits than its factorization.

10111011120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191828316 (or 9191828309 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111011120100 its reverse (102111011101), we get a palindrome (10213122131201).

The spelling of 10111011120100 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred twenty thousand, one hundred".