202100220100000 has 288 divisors, whose sum is σ = 506923973507952. Its totient is φ = 79280947200000.

The previous prime is 202100220099991. The next prime is 202100220100001. The reversal of 202100220100000 is 1022001202.

It can be written as a sum of positive squares in 24 ways, for example, as 201727822360464 + 372397739536 = 14203092^2 + 610244^2 .

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 202100220100000.

It is not an unprimeable number, because it can be changed into a prime (202100220100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15036093280 + ... + 15036106720.

Almost surely, 2^{202100220100000} is an apocalyptic number.

202100220100000 is a gapful number since it is divisible by the number (20) 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 202100220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253461986753976).

202100220100000 is an abundant number, since it is smaller than the sum of its proper divisors (304823753407952).

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

202100220100000 is an equidigital number, since it uses as much as digits as its factorization.

202100220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366 (or 16338 counting only the distinct ones).

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

Adding to 202100220100000 its reverse (1022001202), we get a palindrome (202101242101202).

The spelling of 202100220100000 in words is "two hundred two trillion, one hundred billion, two hundred twenty million, one hundred thousand".