102211010112000 has 1440 divisors, whose sum is σ = 364774389819840. Its totient is φ = 25387068211200.

The previous prime is 102211010111983. The next prime is 102211010112011. The reversal of 102211010112000 is 211010112201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 735331007931 + ... + 735331008069.

It is an arithmetic number, because the mean of its divisors is an integer number (253315548486).

Almost surely, 2^{102211010112000} is an apocalyptic number.

102211010112000 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 102211010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182387194909920).

102211010112000 is an abundant number, since it is smaller than the sum of its proper divisors (262563379707840).

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

102211010112000 is an equidigital number, since it uses as much as digits as its factorization.

102211010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102211010112000 its reverse (211010112201), we get a palindrome (102422020224201).

The spelling of 102211010112000 in words is "one hundred two trillion, two hundred eleven billion, ten million, one hundred twelve thousand".