102020012022000 has 320 divisors, whose sum is σ = 330402631163904. Its totient is φ = 27082337587200.

The previous prime is 102020012021989. The next prime is 102020012022001. The reversal of 102020012022000 is 220210020201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020012022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1308195009 + ... + 1308272991.

Almost surely, 2^{102020012022000} is an apocalyptic number.

102020012022000 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 102020012022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165201315581952).

102020012022000 is an abundant number, since it is smaller than the sum of its proper divisors (228382619141904).

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

102020012022000 is a wasteful number, since it uses less digits than its factorization.

102020012022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78993 (or 78977 counting only the distinct ones).

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

Adding to 102020012022000 its reverse (220210020201), we get a palindrome (102240222042201).

The spelling of 102020012022000 in words is "one hundred two trillion, twenty billion, twelve million, twenty-two thousand".