102020110111100 has 72 divisors (see below), whose sum is σ = 221540418005760. Its totient is φ = 40779155020480.

The previous prime is 102020110111063. The next prime is 102020110111103. The reversal of 102020110111100 is 1111011020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020110111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825991949 + ... + 826115451.

It is an arithmetic number, because the mean of its divisors is an integer number (3076950250080).

Almost surely, 2^{102020110111100} is an apocalyptic number.

102020110111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020110111100 is an abundant number, since it is smaller than the sum of its proper divisors (119520307894660).

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

102020110111100 is a wasteful number, since it uses less digits than its factorization.

102020110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129299 (or 129292 counting only the distinct ones).

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

Adding to 102020110111100 its reverse (1111011020201), we get a palindrome (103131121131301).

The spelling of 102020110111100 in words is "one hundred two trillion, twenty billion, one hundred ten million, one hundred eleven thousand, one hundred".