102021002010000 has 400 divisors, whose sum is σ = 366052121075520. Its totient is φ = 27196554240000.

The previous prime is 102021002009959. The next prime is 102021002010029. The reversal of 102021002010000 is 10200120201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102021002010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 832348720 + ... + 832471280.

Almost surely, 2^{102021002010000} is an apocalyptic number.

102021002010000 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 102021002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183026060537760).

102021002010000 is an abundant number, since it is smaller than the sum of its proper divisors (264031119065520).

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

102021002010000 is a wasteful number, since it uses less digits than its factorization.

102021002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125681 (or 125654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102021002010000 its reverse (10200120201), we get a palindrome (102031202130201).

The spelling of 102021002010000 in words is "one hundred two trillion, twenty-one billion, two million, ten thousand".