101102122011973 has 2 divisors, whose sum is σ = 101102122011974. Its totient is φ = 101102122011972.

The previous prime is 101102122011907. The next prime is 101102122012063. The reversal of 101102122011973 is 379110221201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59592733654689 + 41509388357284 = 7719633^2 + 6442778^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102122011973 - 2³⁷ = 100964683058501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102122014973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551061005986 + 50551061005987.

It is an arithmetic number, because the mean of its divisors is an integer number (50551061005987).

Almost surely, 2^{101102122011973} is an apocalyptic number.

It is an amenable number.

101102122011973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102122011973 is an equidigital number, since it uses as much as digits as its factorization.

101102122011973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 101102122011973 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, eleven thousand, nine hundred seventy-three".