202121102100100 has 36 divisors (see below), whose sum is σ = 438606894571300. Its totient is φ = 80847684524160.

The previous prime is 202121102100079. The next prime is 202121102100121. The reversal of 202121102100100 is 1001201121202.

It is an interprime number because it is at equal distance from previous prime (202121102100079) and next prime (202121102100121).

It can be written as a sum of positive squares in 6 ways, for example, as 21513789783616 + 180607312316484 = 4638296^2 + 13439022^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350706 + ... + 20151094.

Almost surely, 2^{202121102100100} is an apocalyptic number.

202121102100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121102100100 is an abundant number, since it is smaller than the sum of its proper divisors (236485792471200).

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

202121102100100 is a wasteful number, since it uses less digits than its factorization.

202121102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18907912 (or 18907905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202121102100100 its reverse (1001201121202), we get a palindrome (203122303221302).

The spelling of 202121102100100 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred two million, one hundred thousand, one hundred".