100102002222100 has 72 divisors (see below), whose sum is σ = 217421350905080. Its totient is φ = 40003939860480.

The previous prime is 100102002222077. The next prime is 100102002222119. The reversal of 100102002222100 is 1222200201001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 51727223002896 + 48374779219204 = 7192164^2 + 6955198^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1490622124 + ... + 1490689276.

Almost surely, 2^{100102002222100} is an apocalyptic number.

100102002222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102002222100 is an abundant number, since it is smaller than the sum of its proper divisors (117319348682980).

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

100102002222100 is a wasteful number, since it uses less digits than its factorization.

100102002222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80669 (or 80662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102002222100 its reverse (1222200201001), we get a palindrome (101324202423101).

The spelling of 100102002222100 in words is "one hundred trillion, one hundred two billion, two million, two hundred twenty-two thousand, one hundred".