102112222120000 has 280 divisors, whose sum is σ = 272730209021600. Its totient is φ = 37795258368000.

The previous prime is 102112222119991. The next prime is 102112222120001. The reversal of 102112222120000 is 21222211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102112222120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31117696 + ... + 34242304.

Almost surely, 2^{102112222120000} is an apocalyptic number.

102112222120000 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 102112222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136365104510800).

102112222120000 is an abundant number, since it is smaller than the sum of its proper divisors (170617986901600).

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

102112222120000 is an equidigital number, since it uses as much as digits as its factorization.

102112222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124703 (or 3124678 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102112222120000 its reverse (21222211201), we get a palindrome (102133444331201).

The spelling of 102112222120000 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty thousand".