101611106224460 has 96 divisors (see below), whose sum is σ = 246046457986560. Its totient is φ = 34526747501568.

The previous prime is 101611106224427. The next prime is 101611106224489. The reversal of 101611106224460 is 64422601116101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101611106224460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182902427 + ... + 183457133.

It is an arithmetic number, because the mean of its divisors is an integer number (2562983937360).

Almost surely, 2^{101611106224460} is an apocalyptic number.

101611106224460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101611106224460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123023228993280).

101611106224460 is an abundant number, since it is smaller than the sum of its proper divisors (144435351762100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101611106224460 is a wasteful number, since it uses less digits than its factorization.

101611106224460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566415 (or 566413 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 101611106224460 in words is "one hundred one trillion, six hundred eleven billion, one hundred six million, two hundred twenty-four thousand, four hundred sixty".