101506226401 has 2 divisors, whose sum is σ = 101506226402. Its totient is φ = 101506226400.

The previous prime is 101506226377. The next prime is 101506226413. The reversal of 101506226401 is 104622605101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88342106176 + 13164120225 = 297224^2 + 114735^2 .

It is a cyclic number.

It is not a de Polignac number, because 101506226401 - 2⁷ = 101506226273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101506226401.

It is not a weakly prime, because it can be changed into another prime (101506236401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50753113200 + 50753113201.

It is an arithmetic number, because the mean of its divisors is an integer number (50753113201).

Almost surely, 2^101506226401 is an apocalyptic number.

It is an amenable number.

101506226401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101506226401 is an equidigital number, since it uses as much as digits as its factorization.

101506226401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 101506226401 in words is "one hundred one billion, five hundred six million, two hundred twenty-six thousand, four hundred one".