100901408081 has 2 divisors, whose sum is σ = 100901408082. Its totient is φ = 100901408080.

The previous prime is 100901408077. The next prime is 100901408147. The reversal of 100901408081 is 180804109001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86694913600 + 14206494481 = 294440^2 + 119191^2 .

It is a cyclic number.

It is not a de Polignac number, because 100901408081 - 2² = 100901408077 is a prime.

It is a super-2 number, since 2×100901408081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100901408011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50450704040 + 50450704041.

It is an arithmetic number, because the mean of its divisors is an integer number (50450704041).

Almost surely, 2^100901408081 is an apocalyptic number.

It is an amenable number.

100901408081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100901408081 is an equidigital number, since it uses as much as digits as its factorization.

100901408081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 100901408081 in words is "one hundred billion, nine hundred one million, four hundred eight thousand, eighty-one".