101300601632 has 48 divisors (see below), whose sum is σ = 208487950272. Its totient is φ = 48359351040.

The previous prime is 101300601631. The next prime is 101300601637. The reversal of 101300601632 is 236106003101.

It is a happy number.

101300601632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101300601632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 101300601598 and 101300601607.

It is not an unprimeable number, because it can be changed into a prime (101300601631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276782 + ... + 528402.

It is an arithmetic number, because the mean of its divisors is an integer number (4343498964).

Almost surely, 2^101300601632 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 101300601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104243975136).

101300601632 is an abundant number, since it is smaller than the sum of its proper divisors (107187348640).

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

101300601632 is a wasteful number, since it uses less digits than its factorization.

101300601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252201 (or 252193 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101300601632 its reverse (236106003101), we get a palindrome (337406604733).

The spelling of 101300601632 in words is "one hundred one billion, three hundred million, six hundred one thousand, six hundred thirty-two".