101432221420 has 96 divisors (see below), whose sum is σ = 233329190976. Its totient is φ = 36885504000.

The previous prime is 101432221399. The next prime is 101432221459. The reversal of 101432221420 is 24122234101.

101432221420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101432221391 and 101432221400.

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, 1371919 + ... + 1443961.

It is an arithmetic number, because the mean of its divisors is an integer number (2430512406).

Almost surely, 2^101432221420 is an apocalyptic number.

101432221420 is a gapful number since it is divisible by the number (10) 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 101432221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116664595488).

101432221420 is an abundant number, since it is smaller than the sum of its proper divisors (131896969556).

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

101432221420 is a wasteful number, since it uses less digits than its factorization.

101432221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72211 (or 72209 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101432221420 its reverse (24122234101), we get a palindrome (125554455521).

The spelling of 101432221420 in words is "one hundred one billion, four hundred thirty-two million, two hundred twenty-one thousand, four hundred twenty".