101837128153 has 2 divisors, whose sum is σ = 101837128154. Its totient is φ = 101837128152.

The previous prime is 101837128061. The next prime is 101837128157. The reversal of 101837128153 is 351821738101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74383289289 + 27453838864 = 272733^2 + 165692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101837128153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101837128157) 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 as a sum of consecutive naturals, namely, 50918564076 + 50918564077.

It is an arithmetic number, because the mean of its divisors is an integer number (50918564077).

Almost surely, 2^101837128153 is an apocalyptic number.

It is an amenable number.

101837128153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101837128153 is an equidigital number, since it uses as much as digits as its factorization.

101837128153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 101837128153 in words is "one hundred one billion, eight hundred thirty-seven million, one hundred twenty-eight thousand, one hundred fifty-three".