101400601326105 has 64 divisors (see below), whose sum is σ = 164028842385408. Its totient is φ = 53485755079680.

The previous prime is 101400601326097. The next prime is 101400601326169. The reversal of 101400601326105 is 501623106004101.

It is a happy number.

It is not a de Polignac number, because 101400601326105 - 2³ = 101400601326097 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, 8113989217 + ... + 8114001713.

It is an arithmetic number, because the mean of its divisors is an integer number (2562950662272).

Almost surely, 2^{101400601326105} is an apocalyptic number.

101400601326105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101400601326105 is a deficient number, since it is larger than the sum of its proper divisors (62628241059303).

101400601326105 is a wasteful number, since it uses less digits than its factorization.

101400601326105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19006.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 101400601326105 in words is "one hundred one trillion, four hundred billion, six hundred one million, three hundred twenty-six thousand, one hundred five".