101144420132 has 96 divisors (see below), whose sum is σ = 213370440192. Its totient is φ = 41015310336.

The previous prime is 101144420123. The next prime is 101144420171. The reversal of 101144420132 is 231024441101.

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 = 101144420098 and 101144420107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49265618 + ... + 49267670.

It is an arithmetic number, because the mean of its divisors is an integer number (2222608752).

Almost surely, 2^101144420132 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 101144420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106685220096).

101144420132 is an abundant number, since it is smaller than the sum of its proper divisors (112226020060).

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

101144420132 is a wasteful number, since it uses less digits than its factorization.

101144420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101144420132 its reverse (231024441101), we get a palindrome (332168861233).

The spelling of 101144420132 in words is "one hundred one billion, one hundred forty-four million, four hundred twenty thousand, one hundred thirty-two".