102100102210000 has 200 divisors, whose sum is σ = 260308351163520. Its totient is φ = 38675167488000.

The previous prime is 102100102209953. The next prime is 102100102210039. The reversal of 102100102210000 is 12201001201.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 483064344 + ... + 483275656.

Almost surely, 2^{102100102210000} is an apocalyptic number.

102100102210000 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 102100102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130154175581760).

102100102210000 is an abundant number, since it is smaller than the sum of its proper divisors (158208248953520).

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

102100102210000 is a wasteful number, since it uses less digits than its factorization.

102100102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213903 (or 213882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100102210000 its reverse (12201001201), we get a palindrome (102112303211201).

The spelling of 102100102210000 in words is "one hundred two trillion, one hundred billion, one hundred two million, two hundred ten thousand".