101025565564 has 72 divisors (see below), whose sum is σ = 224526844080. Its totient is φ = 39330547200.

The previous prime is 101025565549. The next prime is 101025565573. The reversal of 101025565564 is 465565520101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2917102 + ... + 2951530.

It is an arithmetic number, because the mean of its divisors is an integer number (3118428390).

Almost surely, 2^101025565564 is an apocalyptic number.

101025565564 is a gapful number since it is divisible by the number (14) 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 101025565564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112263422040).

101025565564 is an abundant number, since it is smaller than the sum of its proper divisors (123501278516).

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

101025565564 is a wasteful number, since it uses less digits than its factorization.

101025565564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35819 (or 35810 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 101025565564 in words is "one hundred one billion, twenty-five million, five hundred sixty-five thousand, five hundred sixty-four".