102122220000 has 480 divisors, whose sum is σ = 347407818912. Its totient is φ = 26237952000.

The previous prime is 102122219993. The next prime is 102122220001. The reversal of 102122220000 is 22221201.

102122220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (102122220001) 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, 348539854 + ... + 348540146.

Almost surely, 2^102122220000 is an apocalyptic number.

102122220000 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 102122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173703909456).

102122220000 is an abundant number, since it is smaller than the sum of its proper divisors (245285598912).

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

102122220000 is a wasteful number, since it uses less digits than its factorization.

102122220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

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

Adding to 102122220000 its reverse (22221201), we get a palindrome (102144441201).

The spelling of 102122220000 in words is "one hundred two billion, one hundred twenty-two million, two hundred twenty thousand".