101556404655101 has 6 divisors (see below), whose sum is σ = 111628114207806. Its totient is φ = 92324004231800.

The previous prime is 101556404655037. The next prime is 101556404655107.

It is a happy number.

101556404655101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 63809757586201 + 37746647068900 = 7988101^2 + 6143830^2 .

It is not a de Polignac number, because 101556404655101 - 2⁶ = 101556404655037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101556404655107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 419654564570 + ... + 419654564811.

It is an arithmetic number, because the mean of its divisors is an integer number (18604685701301).

Almost surely, 2^{101556404655101} is an apocalyptic number.

101556404655101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101556404655101 is a deficient number, since it is larger than the sum of its proper divisors (10071709552705).

101556404655101 is an equidigital number, since it uses as much as digits as its factorization.

101556404655101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839309129403 (or 839309129392 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 44.

The spelling of 101556404655101 in words is "one hundred one trillion, five hundred fifty-six billion, four hundred four million, six hundred fifty-five thousand, one hundred one".