102102100210000 has 300 divisors, whose sum is σ = 272305928500452. Its totient is φ = 37047296000000.

The previous prime is 102102100209899. The next prime is 102102100210021. The reversal of 102102100210000 is 12001201201.

It can be written as a sum of positive squares in 10 ways, for example, as 73570349763856 + 28531750446144 = 8577316^2 + 5341512^2 .

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 59 ways as a sum of consecutive naturals, for example, 557718480 + ... + 557901520.

Almost surely, 2^{102102100210000} is an apocalyptic number.

102102100210000 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 102102100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152964250226).

102102100210000 is an abundant number, since it is smaller than the sum of its proper divisors (170203828290452).

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

102102100210000 is a wasteful number, since it uses less digits than its factorization.

102102100210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183552 (or 183520 counting only the distinct ones).

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

Adding to 102102100210000 its reverse (12001201201), we get a palindrome (102114101411201).

The spelling of 102102100210000 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred ten thousand".