102000022010100 has 54 divisors (see below), whose sum is σ = 319713402325590. Its totient is φ = 27200005869120.

The previous prime is 102000022010027. The next prime is 102000022010101. The reversal of 102000022010100 is 1010220000201.

It can be written as a sum of positive squares in 3 ways, for example, as 8363976338916 + 93636045671184 = 2892054^2 + 9676572^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000022010101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 56666677995 + ... + 56666679794.

It is an arithmetic number, because the mean of its divisors is an integer number (5920618561585).

Almost surely, 2^{102000022010100} is an apocalyptic number.

102000022010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000022010100 is an abundant number, since it is smaller than the sum of its proper divisors (217713380315490).

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

102000022010100 is a wasteful number, since it uses less digits than its factorization.

102000022010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113333357809 (or 113333357799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000022010100 its reverse (1010220000201), we get a palindrome (103010242010301).

The spelling of 102000022010100 in words is "one hundred two trillion, twenty-two million, ten thousand, one hundred".