102111002010100 has 36 divisors (see below), whose sum is σ = 221581375525804. Its totient is φ = 40844308423680.

The previous prime is 102111002010049. The next prime is 102111002010169. The reversal of 102111002010100 is 1010200111201.

It can be written as a sum of positive squares in 6 ways, for example, as 25273926273124 + 76837075736976 = 5027318^2 + 8765676^2 .

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, 58730482 + ... + 60444118.

Almost surely, 2^{102111002010100} is an apocalyptic number.

102111002010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111002010100 is an abundant number, since it is smaller than the sum of its proper divisors (119470373515704).

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

102111002010100 is a wasteful number, since it uses less digits than its factorization.

102111002010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309524 (or 2309517 counting only the distinct ones).

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

Adding to 102111002010100 its reverse (1010200111201), we get a palindrome (103121202121301).

The spelling of 102111002010100 in words is "one hundred two trillion, one hundred eleven billion, two million, ten thousand, one hundred".