102100220200000 has 336 divisors, whose sum is σ = 290802259339200. Its totient is φ = 35173267200000.

The previous prime is 102100220199959. The next prime is 102100220200003. The reversal of 102100220200000 is 2022001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 102100220200000.

It is not an unprimeable number, because it can be changed into a prime (102100220200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40578706 + ... + 43021294.

It is an arithmetic number, because the mean of its divisors is an integer number (865482914700).

Almost surely, 2^{102100220200000} is an apocalyptic number.

102100220200000 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 102100220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401129669600).

102100220200000 is an abundant number, since it is smaller than the sum of its proper divisors (188702039139200).

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

102100220200000 is an equidigital number, since it uses as much as digits as its factorization.

102100220200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442656 (or 2442626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102100220200000 its reverse (2022001201), we get a palindrome (102102242201201).

The spelling of 102100220200000 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, two hundred thousand".