102101220000 has 360 divisors, whose sum is σ = 390740113764. Its totient is φ = 25132032000.

The previous prime is 102101219993. The next prime is 102101220041. The reversal of 102101220000 is 22101201.

It can be written as a sum of positive squares in 10 ways, for example, as 4899440016 + 97201779984 = 69996^2 + 311772^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2318184 + ... + 2361816.

Almost surely, 2^102101220000 is an apocalyptic number.

102101220000 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 102101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195370056882).

102101220000 is an abundant number, since it is smaller than the sum of its proper divisors (288638893764).

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

102101220000 is a wasteful number, since it uses less digits than its factorization.

102101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43682 (or 43656 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102101220000 its reverse (22101201), we get a palindrome (102123321201).

The spelling of 102101220000 in words is "one hundred two billion, one hundred one million, two hundred twenty thousand".