202220121100100 has 18 divisors (see below), whose sum is σ = 438817662787434. Its totient is φ = 80888048440000.

The previous prime is 202220121100093. The next prime is 202220121100157. The reversal of 202220121100100 is 1001121022202.

It can be written as a sum of positive squares in 3 ways, for example, as 15128552527936 + 187091568572164 = 3889544^2 + 13678142^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1011100605401 + ... + 1011100605600.

Almost surely, 2^{202220121100100} is an apocalyptic number.

202220121100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220121100100 is an abundant number, since it is smaller than the sum of its proper divisors (236597541687334).

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

202220121100100 is a wasteful number, since it uses less digits than its factorization.

202220121100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022201211015 (or 2022201211008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202220121100100 its reverse (1001121022202), we get a palindrome (203221242122302).

The spelling of 202220121100100 in words is "two hundred two trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, one hundred".