101422132224 has 176 divisors, whose sum is σ = 312136516608. Its totient is φ = 28678422528.

The previous prime is 101422132213. The next prime is 101422132241. The reversal of 101422132224 is 422231224101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101422132194 and 101422132203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061577 + ... + 2110199.

Almost surely, 2^101422132224 is an apocalyptic number.

101422132224 is a gapful number since it is divisible by the number (14) 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 101422132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156068258304).

101422132224 is an abundant number, since it is smaller than the sum of its proper divisors (210714384384).

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

101422132224 is an equidigital number, since it uses as much as digits as its factorization.

101422132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48750 (or 48732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101422132224 its reverse (422231224101), we get a palindrome (523653356325).

The spelling of 101422132224 in words is "one hundred one billion, four hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty-four".