100102210222100 has 18 divisors (see below), whose sum is σ = 217221796182174. Its totient is φ = 40040884088800.

The previous prime is 100102210222093. The next prime is 100102210222121. The reversal of 100102210222100 is 1222012201001.

It can be written as a sum of positive squares in 3 ways, for example, as 72087954064 + 100030122268036 = 268492^2 + 10001506^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500511051011 + ... + 500511051210.

Almost surely, 2^{100102210222100} is an apocalyptic number.

100102210222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102210222100 is an abundant number, since it is smaller than the sum of its proper divisors (117119585960074).

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

100102210222100 is a wasteful number, since it uses less digits than its factorization.

100102210222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001022102235 (or 1001022102228 counting only the distinct ones).

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

Adding to 100102210222100 its reverse (1222012201001), we get a palindrome (101324222423101).

The spelling of 100102210222100 in words is "one hundred trillion, one hundred two billion, two hundred ten million, two hundred twenty-two thousand, one hundred".