101422131333432 has 384 divisors, whose sum is σ = 341839076523840. Its totient is φ = 24762528645120.

The previous prime is 101422131333409. The next prime is 101422131333433. The reversal of 101422131333432 is 234333131224101.

It is a junction number, because it is equal to n+sod(n) for n = 101422131333393 and 101422131333402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422131333433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12654958 + ... + 19052354.

Almost surely, 2^{101422131333432} is an apocalyptic number.

101422131333432 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 101422131333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170919538261920).

101422131333432 is an abundant number, since it is smaller than the sum of its proper divisors (240416945190408).

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

101422131333432 is a wasteful number, since it uses less digits than its factorization.

101422131333432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397511 (or 6397500 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 101422131333432 its reverse (234333131224101), we get a palindrome (335755262557533).

The spelling of 101422131333432 in words is "one hundred one trillion, four hundred twenty-two billion, one hundred thirty-one million, three hundred thirty-three thousand, four hundred thirty-two".