102101002011100 has 36 divisors (see below), whose sum is σ = 221601530531808. Its totient is φ = 40832593216000.

The previous prime is 102101002011083. The next prime is 102101002011143. The reversal of 102101002011100 is 1110200101201.

It is a super-2 number, since 2×102101002011100² (a number of 29 digits) contains 22 as substring.

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

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, 97069141 + ... + 98115340.

It is an arithmetic number, because the mean of its divisors is an integer number (6155598070328).

Almost surely, 2^{102101002011100} is an apocalyptic number.

102101002011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101002011100 is an abundant number, since it is smaller than the sum of its proper divisors (119500528520708).

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

102101002011100 is a wasteful number, since it uses less digits than its factorization.

102101002011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195189726 (or 195189719 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102101002011100 its reverse (1110200101201), we get a palindrome (103211202112301).

The spelling of 102101002011100 in words is "one hundred two trillion, one hundred one billion, two million, eleven thousand, one hundred".