102010100022000 has 240 divisors, whose sum is σ = 356328014788512. Its totient is φ = 27199582924800.

The previous prime is 102010100021989. The next prime is 102010100022007. The reversal of 102010100022000 is 220001010201.

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010100022007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159286432 + ... + 159925568.

Almost surely, 2^{102010100022000} is an apocalyptic number.

102010100022000 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 102010100022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178164007394256).

102010100022000 is an abundant number, since it is smaller than the sum of its proper divisors (254317914766512).

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

102010100022000 is a wasteful number, since it uses less digits than its factorization.

102010100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648033 (or 648014 counting only the distinct ones).

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

Adding to 102010100022000 its reverse (220001010201), we get a palindrome (102230101032201).

The spelling of 102010100022000 in words is "one hundred two trillion, ten billion, one hundred million, twenty-two thousand".