101540076401 has 2 divisors, whose sum is σ = 101540076402. Its totient is φ = 101540076400.

The previous prime is 101540076377. The next prime is 101540076409. The reversal of 101540076401 is 104670045101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56235379600 + 45304696801 = 237140^2 + 212849^2 .

It is an emirp because it is prime and its reverse (104670045101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101540076401 is a prime.

It is a super-2 number, since 2×101540076401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101540076409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50770038200 + 50770038201.

It is an arithmetic number, because the mean of its divisors is an integer number (50770038201).

Almost surely, 2^101540076401 is an apocalyptic number.

It is an amenable number.

101540076401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101540076401 is an equidigital number, since it uses as much as digits as its factorization.

101540076401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 101540076401 in words is "one hundred one billion, five hundred forty million, seventy-six thousand, four hundred one".