102212022012000 has 192 divisors, whose sum is σ = 336851660081664. Its totient is φ = 27093325862400.

The previous prime is 102212022011999. The next prime is 102212022012019. The reversal of 102212022012000 is 210220212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 23498002 + ... + 27506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1754435729592).

Almost surely, 2^{102212022012000} is an apocalyptic number.

102212022012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212022012000 is an abundant number, since it is smaller than the sum of its proper divisors (234639638069664).

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

102212022012000 is a wasteful number, since it uses less digits than its factorization.

102212022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51004198 (or 51004180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212022012000 its reverse (210220212201), we get a palindrome (102422242224201).

The spelling of 102212022012000 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, twelve thousand".