100121220137 has 2 divisors, whose sum is σ = 100121220138. Its totient is φ = 100121220136.

The previous prime is 100121220131. The next prime is 100121220179. The reversal of 100121220137 is 731022121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65571332761 + 34549887376 = 256069^2 + 185876^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121220137 - 2³⁴ = 82941350953 is a prime.

It is a super-2 number, since 2×100121220137² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100121220131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060610068 + 50060610069.

It is an arithmetic number, because the mean of its divisors is an integer number (50060610069).

Almost surely, 2^100121220137 is an apocalyptic number.

It is an amenable number.

100121220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121220137 is an equidigital number, since it uses as much as digits as its factorization.

100121220137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 100121220137 its reverse (731022121001), we get a palindrome (831143341138).

The spelling of 100121220137 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty thousand, one hundred thirty-seven".