101557419144 has 128 divisors (see below), whose sum is σ = 281970408960. Its totient is φ = 30340251648.

The previous prime is 101557419091. The next prime is 101557419167. The reversal of 101557419144 is 441914755101.

It is a junction number, because it is equal to n+sod(n) for n = 101557419096 and 101557419105.

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, 637944 + ... + 781080.

It is an arithmetic number, because the mean of its divisors is an integer number (2202893820).

Almost surely, 2^101557419144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101557419144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140985204480).

101557419144 is an abundant number, since it is smaller than the sum of its proper divisors (180412989816).

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

101557419144 is a wasteful number, since it uses less digits than its factorization.

101557419144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143247 (or 143243 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 101557419144 in words is "one hundred one billion, five hundred fifty-seven million, four hundred nineteen thousand, one hundred forty-four".