10200220200000 has 252 divisors, whose sum is σ = 36544029352740. Its totient is φ = 2720058240000.

The previous prime is 10200220199987. The next prime is 10200220200029. The reversal of 10200220200000 is 202200201.

It can be written as a sum of positive squares in 6 ways, for example, as 8142074178624 + 2058146021376 = 2853432^2 + 1434624^2 .

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 35 ways as a sum of consecutive naturals, for example, 1033395 + ... + 4633394.

It is an arithmetic number, because the mean of its divisors is an integer number (145015989495).

Almost surely, 2^{10200220200000} is an apocalyptic number.

10200220200000 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 10200220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272014676370).

10200220200000 is an abundant number, since it is smaller than the sum of its proper divisors (26343809152740).

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

10200220200000 is an frugal number, since it uses more digits than its factorization.

10200220200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666832 (or 5666799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10200220200000 its reverse (202200201), we get a palindrome (10200422400201).

The spelling of 10200220200000 in words is "ten trillion, two hundred billion, two hundred twenty million, two hundred thousand".