102001220220000 has 480 divisors, whose sum is σ = 336494483297280. Its totient is φ = 27045469440000.

The previous prime is 102001220219993. The next prime is 102001220220001. The reversal of 102001220220000 is 22022100201.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001220220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8133413730 + ... + 8133426270.

It is an arithmetic number, because the mean of its divisors is an integer number (701030173536).

Almost surely, 2^{102001220220000} is an apocalyptic number.

102001220220000 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 102001220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168247241648640).

102001220220000 is an abundant number, since it is smaller than the sum of its proper divisors (234493263077280).

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

102001220220000 is a wasteful number, since it uses less digits than its factorization.

102001220220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102001220220000 its reverse (22022100201), we get a palindrome (102023242320201).

The spelling of 102001220220000 in words is "one hundred two trillion, one billion, two hundred twenty million, two hundred twenty thousand".