101461264634505 has 64 divisors (see below), whose sum is σ = 169534330011648. Its totient is φ = 51717754851840.

The previous prime is 101461264634473. The next prime is 101461264634537. The reversal of 101461264634505 is 505436462164101.

It is an interprime number because it is at equal distance from previous prime (101461264634473) and next prime (101461264634537).

It is not a de Polignac number, because 101461264634505 - 2⁵ = 101461264634473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3896199285 + ... + 3896225325.

It is an arithmetic number, because the mean of its divisors is an integer number (2648973906432).

Almost surely, 2^{101461264634505} is an apocalyptic number.

101461264634505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101461264634505 is a deficient number, since it is larger than the sum of its proper divisors (68073065377143).

101461264634505 is a wasteful number, since it uses less digits than its factorization.

101461264634505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34846.

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 101461264634505 in words is "one hundred one trillion, four hundred sixty-one billion, two hundred sixty-four million, six hundred thirty-four thousand, five hundred five".