101110020111100 has 144 divisors (see below), whose sum is σ = 294590760984576. Its totient is φ = 29090595168000.

The previous prime is 101110020111053. The next prime is 101110020111103. The reversal of 101110020111100 is 1111020011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110020111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504944956 + ... + 505145155.

It is an arithmetic number, because the mean of its divisors is an integer number (2045769173504).

Almost surely, 2^{101110020111100} is an apocalyptic number.

101110020111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110020111100 is an abundant number, since it is smaller than the sum of its proper divisors (193480740873476).

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

101110020111100 is a wasteful number, since it uses less digits than its factorization.

101110020111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010090156 (or 1010090149 counting only the distinct ones).

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

Adding to 101110020111100 its reverse (1111020011101), we get a palindrome (102221040122201).

Subtracting from 101110020111100 its reverse (1111020011101), we obtain a palindrome (99999000099999).

The spelling of 101110020111100 in words is "one hundred one trillion, one hundred ten billion, twenty million, one hundred eleven thousand, one hundred".