102000022022000 has 160 divisors (see below), whose sum is σ = 247594470439680. Its totient is φ = 40641513062400.

The previous prime is 102000022021973. The next prime is 102000022022029. The reversal of 102000022022000 is 220220000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4270094057 + ... + 4270117943.

It is an arithmetic number, because the mean of its divisors is an integer number (1547465440248).

Almost surely, 2^{102000022022000} is an apocalyptic number.

102000022022000 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 102000022022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123797235219840).

102000022022000 is an abundant number, since it is smaller than the sum of its proper divisors (145594448417680).

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

102000022022000 is a wasteful number, since it uses less digits than its factorization.

102000022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32116 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102000022022000 its reverse (220220000201), we get a palindrome (102220242022201).

The spelling of 102000022022000 in words is "one hundred two trillion, twenty-two million, twenty-two thousand".