101456342443401 has 16 divisors (see below), whose sum is σ = 147574457834688. Its totient is φ = 61488027348800.

The previous prime is 101456342443387. The next prime is 101456342443411. The reversal of 101456342443401 is 104344243654101.

It is a cyclic number.

It is not a de Polignac number, because 101456342443401 - 2⁵ = 101456342443369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101456342443411) 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, 13520010 + ... + 19639331.

It is an arithmetic number, because the mean of its divisors is an integer number (9223403614668).

Almost surely, 2^{101456342443401} is an apocalyptic number.

101456342443401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101456342443401 is a deficient number, since it is larger than the sum of its proper divisors (46118115391287).

101456342443401 is a wasteful number, since it uses less digits than its factorization.

101456342443401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33252072.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 101456342443401 in words is "one hundred one trillion, four hundred fifty-six billion, three hundred forty-two million, four hundred forty-three thousand, four hundred one".