100102000200121 has 16 divisors (see below), whose sum is σ = 103990189050000. Its totient is φ = 96242956185600.

The previous prime is 100102000200113. The next prime is 100102000200127. The reversal of 100102000200121 is 121002000201001.

It can be written as a sum of positive squares in 8 ways, for example, as 263215172025 + 99838785028096 = 513045^2 + 9991936^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102000200121 - 2³ = 100102000200113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102000200098 and 100102000200107.

It is not an unprimeable number, because it can be changed into a prime (100102000200127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109699255 + ... + 110608003.

It is an arithmetic number, because the mean of its divisors is an integer number (6499386815625).

Almost surely, 2^{100102000200121} is an apocalyptic number.

It is an amenable number.

100102000200121 is a deficient number, since it is larger than the sum of its proper divisors (3888188849879).

100102000200121 is a wasteful number, since it uses less digits than its factorization.

100102000200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924780.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102000200121 its reverse (121002000201001), we get a palindrome (221104000401122).

The spelling of 100102000200121 in words is "one hundred trillion, one hundred two billion, two hundred thousand, one hundred twenty-one".