101020101132 has 96 divisors (see below), whose sum is σ = 253008645120. Its totient is φ = 31273482240.

The previous prime is 101020101131. The next prime is 101020101157. The reversal of 101020101132 is 231101020101.

101020101132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101020101131) 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, 19126332 + ... + 19131612.

It is an arithmetic number, because the mean of its divisors is an integer number (2635506720).

Almost surely, 2^101020101132 is an apocalyptic number.

101020101132 is a gapful number since it is divisible by the number (12) 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 101020101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126504322560).

101020101132 is an abundant number, since it is smaller than the sum of its proper divisors (151988543988).

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

101020101132 is a wasteful number, since it uses less digits than its factorization.

101020101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101020101132 its reverse (231101020101), we get a palindrome (332121121233).

The spelling of 101020101132 in words is "one hundred one billion, twenty million, one hundred one thousand, one hundred thirty-two".