102001210221120 has 448 divisors, whose sum is σ = 391445149747200. Its totient is φ = 21982794301440.

The previous prime is 102001210221013. The next prime is 102001210221181. The reversal of 102001210221120 is 21122012100201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102001210221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25047396 + ... + 28833564.

Almost surely, 2^{102001210221120} is an apocalyptic number.

102001210221120 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 102001210221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195722574873600).

102001210221120 is an abundant number, since it is smaller than the sum of its proper divisors (289443939526080).

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

102001210221120 is a wasteful number, since it uses less digits than its factorization.

102001210221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786426 (or 3786416 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102001210221120 its reverse (21122012100201), we get a palindrome (123123222321321).

The spelling of 102001210221120 in words is "one hundred two trillion, one billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".