102112211120000 has 320 divisors, whose sum is σ = 256505059918800. Its totient is φ = 40476413952000.

The previous prime is 102112211119999. The next prime is 102112211120009. The reversal of 102112211120000 is 21112211201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112211120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4195747832 + ... + 4195772168.

Almost surely, 2^{102112211120000} is an apocalyptic number.

102112211120000 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 102112211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128252529959400).

102112211120000 is an abundant number, since it is smaller than the sum of its proper divisors (154392848798800).

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

102112211120000 is an equidigital number, since it uses as much as digits as its factorization.

102112211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843 (or 24816 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112211120000 its reverse (21112211201), we get a palindrome (102133323331201).

It can be divided in two parts, 102112 and 211120000, that added together give a palindrome (211222112).

The spelling of 102112211120000 in words is "one hundred two trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty thousand".