101025500632 has 64 divisors (see below), whose sum is σ = 222403749120. Its totient is φ = 42113271168.

The previous prime is 101025500623. The next prime is 101025500651. The reversal of 101025500632 is 236005520101.

It is a junction number, because it is equal to n+sod(n) for n = 101025500597 and 101025500606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9416023 + ... + 9426745.

It is an arithmetic number, because the mean of its divisors is an integer number (3475058580).

Almost surely, 2^101025500632 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 101025500632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111201874560).

101025500632 is an abundant number, since it is smaller than the sum of its proper divisors (121378248488).

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

101025500632 is a wasteful number, since it uses less digits than its factorization.

101025500632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15320 (or 15316 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 101025500632 in words is "one hundred one billion, twenty-five million, five hundred thousand, six hundred thirty-two".