102100002010100 has 72 divisors (see below), whose sum is σ = 226277721548928. Its totient is φ = 39969874278400.

The previous prime is 102100002010067. The next prime is 102100002010103. The reversal of 102100002010100 is 1010200001201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100002010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166690004 + ... + 167301396.

It is an arithmetic number, because the mean of its divisors is an integer number (3142746132624).

Almost surely, 2^{102100002010100} is an apocalyptic number.

102100002010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100002010100 is an abundant number, since it is smaller than the sum of its proper divisors (124177719538828).

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

102100002010100 is a wasteful number, since it uses less digits than its factorization.

102100002010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646985 (or 646978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100002010100 its reverse (1010200001201), we get a palindrome (103110202011301).

The spelling of 102100002010100 in words is "one hundred two trillion, one hundred billion, two million, ten thousand, one hundred".