102010022000 has 160 divisors (see below), whose sum is σ = 252450342144. Its totient is φ = 39849984000.

The previous prime is 102010021951. The next prime is 102010022021. The reversal of 102010022000 is 220010201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60253154 + ... + 60254846.

Almost surely, 2^102010022000 is an apocalyptic number.

102010022000 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 102010022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126225171072).

102010022000 is an abundant number, since it is smaller than the sum of its proper divisors (150440320144).

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

102010022000 is a wasteful number, since it uses less digits than its factorization.

102010022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2388 counting only the distinct ones).

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

Adding to 102010022000 its reverse (220010201), we get a palindrome (102230032201).

The spelling of 102010022000 in words is "one hundred two billion, ten million, twenty-two thousand".