101180138897921 has 2 divisors, whose sum is σ = 101180138897922. Its totient is φ = 101180138897920.

The previous prime is 101180138897897. The next prime is 101180138897969. The reversal of 101180138897921 is 129798831081101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69011050529521 + 32169088368400 = 8307289^2 + 5671780^2 .

It is a cyclic number.

It is not a de Polignac number, because 101180138897921 - 2¹⁴ = 101180138881537 is a prime.

It is not a weakly prime, because it can be changed into another prime (101180138827921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50590069448960 + 50590069448961.

It is an arithmetic number, because the mean of its divisors is an integer number (50590069448961).

Almost surely, 2^{101180138897921} is an apocalyptic number.

It is an amenable number.

101180138897921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101180138897921 is an equidigital number, since it uses as much as digits as its factorization.

101180138897921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 59.

The spelling of 101180138897921 in words is "one hundred one trillion, one hundred eighty billion, one hundred thirty-eight million, eight hundred ninety-seven thousand, nine hundred twenty-one".