101025553552 has 160 divisors (see below), whose sum is σ = 248304107520. Its totient is φ = 38677340160.

The previous prime is 101025553483. The next prime is 101025553553. The reversal of 101025553552 is 255355520101.

It is not an unprimeable number, because it can be changed into a prime (101025553553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19732849 + ... + 19737967.

It is an arithmetic number, because the mean of its divisors is an integer number (1551900672).

Almost surely, 2^101025553552 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 101025553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124152053760).

101025553552 is an abundant number, since it is smaller than the sum of its proper divisors (147278553968).

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

101025553552 is a wasteful number, since it uses less digits than its factorization.

101025553552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 101025553552 in words is "one hundred one billion, twenty-five million, five hundred fifty-three thousand, five hundred fifty-two".