102210000112000 has 512 divisors, whose sum is σ = 285036253931520. Its totient is φ = 36126259200000.

The previous prime is 102210000111991. The next prime is 102210000112021. The reversal of 102210000112000 is 211000012201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1955509867 + ... + 1955562133.

It is an arithmetic number, because the mean of its divisors is an integer number (556711433460).

Almost surely, 2^{102210000112000} is an apocalyptic number.

102210000112000 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 102210000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142518126965760).

102210000112000 is an abundant number, since it is smaller than the sum of its proper divisors (182826253819520).

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

102210000112000 is a wasteful number, since it uses less digits than its factorization.

102210000112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52619 (or 52597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102210000112000 its reverse (211000012201), we get a palindrome (102421000124201).

The spelling of 102210000112000 in words is "one hundred two trillion, two hundred ten billion, one hundred twelve thousand".