102100220000 has 120 divisors (see below), whose sum is σ = 262103987376. Its totient is φ = 39064256000.

The previous prime is 102100219999. The next prime is 102100220041. The reversal of 102100220000 is 22001201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102100220000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 349022 + ... + 570978.

Almost surely, 2^102100220000 is an apocalyptic number.

102100220000 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 102100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051993688).

102100220000 is an abundant number, since it is smaller than the sum of its proper divisors (160003767376).

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

102100220000 is an equidigital number, since it uses as much as digits as its factorization.

102100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222010 (or 221987 counting only the distinct ones).

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

Adding to 102100220000 its reverse (22001201), we get a palindrome (102122221201).

The spelling of 102100220000 in words is "one hundred two billion, one hundred million, two hundred twenty thousand".