102221120120000 has 280 divisors, whose sum is σ = 294009616606464. Its totient is φ = 34524141696000.

The previous prime is 102221120119907. The next prime is 102221120120003. The reversal of 102221120120000 is 21021122201.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (102221120120003) 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, 16035557 + ... + 21484443.

Almost surely, 2^{102221120120000} is an apocalyptic number.

102221120120000 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 102221120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147004808303232).

102221120120000 is an abundant number, since it is smaller than the sum of its proper divisors (191788496486464).

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

102221120120000 is an frugal number, since it uses more digits than its factorization.

102221120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448993 (or 5448968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102221120120000 its reverse (21021122201), we get a palindrome (102242141242201).

The spelling of 102221120120000 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand".