101121422432 has 72 divisors (see below), whose sum is σ = 219069025560. Its totient is φ = 45816883200.

The previous prime is 101121422411. The next prime is 101121422533. The reversal of 101121422432 is 234224121101.

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 = 101121422398 and 101121422407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164432 + ... + 478832.

It is an arithmetic number, because the mean of its divisors is an integer number (3042625355).

Almost surely, 2^101121422432 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 101121422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109534512780).

101121422432 is an abundant number, since it is smaller than the sum of its proper divisors (117947603128).

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

101121422432 is a wasteful number, since it uses less digits than its factorization.

101121422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314476 (or 314445 counting only the distinct ones).

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

Adding to 101121422432 its reverse (234224121101), we get a palindrome (335345543533).

The spelling of 101121422432 in words is "one hundred one billion, one hundred twenty-one million, four hundred twenty-two thousand, four hundred thirty-two".