100130102131021 has 8 divisors (see below), whose sum is σ = 104242627744920. Its totient is φ = 96061560748608.

The previous prime is 100130102130977. The next prime is 100130102131051. The reversal of 100130102131021 is 120131201031001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14852468132100 + 85277633998921 = 3853890^2 + 9234589^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100130102131021 - 2³⁷ = 99992663177549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100130102130986 and 100130102131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130102131051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10996053226 + ... + 10996062331.

It is an arithmetic number, because the mean of its divisors is an integer number (13030328468115).

Almost surely, 2^{100130102131021} is an apocalyptic number.

It is an amenable number.

100130102131021 is a deficient number, since it is larger than the sum of its proper divisors (4112525613899).

100130102131021 is a wasteful number, since it uses less digits than its factorization.

100130102131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21992115743.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100130102131021 its reverse (120131201031001), we get a palindrome (220261303162022).

The spelling of 100130102131021 in words is "one hundred trillion, one hundred thirty billion, one hundred two million, one hundred thirty-one thousand, twenty-one".