202100121010000 has 100 divisors (see below), whose sum is σ = 506177176220100. Its totient is φ = 78052460416000.

The previous prime is 202100121009991. The next prime is 202100121010003. The reversal of 202100121010000 is 10121001202.

It can be written as a sum of positive squares in 10 ways, for example, as 163531102533184 + 38569018476816 = 12787928^2 + 6210396^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100121010003) 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 19 ways as a sum of consecutive naturals, for example, 348158485 + ... + 348738484.

It is an arithmetic number, because the mean of its divisors is an integer number (5061771762201).

Almost surely, 2^{202100121010000} is an apocalyptic number.

202100121010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100121010000 is an abundant number, since it is smaller than the sum of its proper divisors (304077055210100).

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

202100121010000 is an equidigital number, since it uses as much as digits as its factorization.

202100121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696897026 (or 696897005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202100121010000 its reverse (10121001202), we get a palindrome (202110242011202).

The spelling of 202100121010000 in words is "two hundred two trillion, one hundred billion, one hundred twenty-one million, ten thousand".