211002102022100 has 18 divisors (see below), whose sum is σ = 457874561388174. Its totient is φ = 84400840808800.

The previous prime is 211002102022087. The next prime is 211002102022147. The reversal of 211002102022100 is 1220201200112.

It can be written as a sum of positive squares in 3 ways, for example, as 71474647415824 + 139527454606276 = 8454268^2 + 11812174^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1055010510011 + ... + 1055010510210.

Almost surely, 2^{211002102022100} is an apocalyptic number.

211002102022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002102022100 is an abundant number, since it is smaller than the sum of its proper divisors (246872459366074).

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

211002102022100 is a wasteful number, since it uses less digits than its factorization.

211002102022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110021020235 (or 2110021020228 counting only the distinct ones).

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

Adding to 211002102022100 its reverse (1220201200112), we get a palindrome (212222303222212).

The spelling of 211002102022100 in words is "two hundred eleven trillion, two billion, one hundred two million, twenty-two thousand, one hundred".