101200401432 has 160 divisors (see below), whose sum is σ = 305656076880. Its totient is φ = 31098090240.

The previous prime is 101200401427. The next prime is 101200401439. The reversal of 101200401432 is 234104002101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200401439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6824458 + ... + 6839270.

Almost surely, 2^101200401432 is an apocalyptic number.

101200401432 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 101200401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152828038440).

101200401432 is an abundant number, since it is smaller than the sum of its proper divisors (204455675448).

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

101200401432 is a wasteful number, since it uses less digits than its factorization.

101200401432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101200401432 its reverse (234104002101), we get a palindrome (335304403533).

The spelling of 101200401432 in words is "one hundred one billion, two hundred million, four hundred one thousand, four hundred thirty-two".