100020102122031 has 288 divisors, whose sum is σ = 180071656123968. Its totient is φ = 49040845701120.

The previous prime is 100020102122027. The next prime is 100020102122077. The reversal of 100020102122031 is 130221201020001.

It is not a de Polignac number, because 100020102122031 - 2² = 100020102122027 is a prime.

It is a super-2 number, since 2×100020102122031² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100020102122031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020102122231) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22162661631 + ... + 22162666143.

It is an arithmetic number, because the mean of its divisors is an integer number (625248805986).

Almost surely, 2^{100020102122031} is an apocalyptic number.

100020102122031 is a deficient number, since it is larger than the sum of its proper divisors (80051554001937).

100020102122031 is a wasteful number, since it uses less digits than its factorization.

100020102122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100020102122031 its reverse (130221201020001), we get a palindrome (230241303142032).

The spelling of 100020102122031 in words is "one hundred trillion, twenty billion, one hundred two million, one hundred twenty-two thousand, thirty-one".