101322253990401 has 16 divisors (see below), whose sum is σ = 140972990008320. Its totient is φ = 64609964378960.

The previous prime is 101322253990381. The next prime is 101322253990409. The reversal of 101322253990401 is 104099352223101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101322253990401 - 2⁹ = 101322253989889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101322253990409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11704341 + ... + 18429218.

It is an arithmetic number, because the mean of its divisors is an integer number (8810811875520).

Almost surely, 2^{101322253990401} is an apocalyptic number.

It is an amenable number.

101322253990401 is a deficient number, since it is larger than the sum of its proper divisors (39650736017919).

101322253990401 is a wasteful number, since it uses less digits than its factorization.

101322253990401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30182316.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 101322253990401 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred fifty-three million, nine hundred ninety thousand, four hundred one".