202111021120100 has 72 divisors (see below), whose sum is σ = 464384804423400. Its totient is φ = 76088033925120.

The previous prime is 202111021120097. The next prime is 202111021120133. The reversal of 202111021120100 is 1021120111202.

It can be written as a sum of positive squares in 12 ways, for example, as 80308410558016 + 121802610562084 = 8961496^2 + 11036422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170342102 + ... + 171524498.

It is an arithmetic number, because the mean of its divisors is an integer number (6449788950325).

Almost surely, 2^{202111021120100} is an apocalyptic number.

202111021120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111021120100 is an abundant number, since it is smaller than the sum of its proper divisors (262273783303300).

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

202111021120100 is a wasteful number, since it uses less digits than its factorization.

202111021120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282977 (or 1282970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202111021120100 its reverse (1021120111202), we get a palindrome (203132141231302).

The spelling of 202111021120100 in words is "two hundred two trillion, one hundred eleven billion, twenty-one million, one hundred twenty thousand, one hundred".