102122022000 has 80 divisors (see below), whose sum is σ = 329241418272. Its totient is φ = 27232537600.

The previous prime is 102122021993. The next prime is 102122022019. The reversal of 102122022000 is 220221201.

102122022000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8504169 + ... + 8516168.

Almost surely, 2^102122022000 is an apocalyptic number.

102122022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122022000 is an abundant number, since it is smaller than the sum of its proper divisors (227119396272).

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

102122022000 is a wasteful number, since it uses less digits than its factorization.

102122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020363 (or 17020347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102122022000 its reverse (220221201), we get a palindrome (102342243201).

The spelling of 102122022000 in words is "one hundred two billion, one hundred twenty-two million, twenty-two thousand".