102211002022100 has 18 divisors (see below), whose sum is σ = 221797874388174. Its totient is φ = 40884400808800.

The previous prime is 102211002022091. The next prime is 102211002022117. The reversal of 102211002022100 is 1220200112201.

It can be written as a sum of positive squares in 3 ways, for example, as 33920062276 + 102177081959824 = 184174^2 + 10108268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511055010011 + ... + 511055010210.

Almost surely, 2^{102211002022100} is an apocalyptic number.

102211002022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211002022100 is an abundant number, since it is smaller than the sum of its proper divisors (119586872366074).

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

102211002022100 is a wasteful number, since it uses less digits than its factorization.

102211002022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022110020235 (or 1022110020228 counting only the distinct ones).

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

Adding to 102211002022100 its reverse (1220200112201), we get a palindrome (103431202134301).

The spelling of 102211002022100 in words is "one hundred two trillion, two hundred eleven billion, two million, twenty-two thousand, one hundred".