102100102021200 has 240 divisors, whose sum is σ = 327870230408640. Its totient is φ = 27159367741440.

The previous prime is 102100102021199. The next prime is 102100102021223. The reversal of 102100102021200 is 2120201001201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981594796 + ... + 981698804.

It is an arithmetic number, because the mean of its divisors is an integer number (1366125960036).

Almost surely, 2^{102100102021200} is an apocalyptic number.

102100102021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163935115204320).

102100102021200 is an abundant number, since it is smaller than the sum of its proper divisors (225770128387440).

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

102100102021200 is a wasteful number, since it uses less digits than its factorization.

102100102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106046 (or 106035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100102021200 its reverse (2120201001201), we get a palindrome (104220303022401).

The spelling of 102100102021200 in words is "one hundred two trillion, one hundred billion, one hundred two million, twenty-one thousand, two hundred".