101432221400 has 48 divisors (see below), whose sum is σ = 236816762400. Its totient is φ = 40403108480.

The previous prime is 101432221399. The next prime is 101432221459. The reversal of 101432221400 is 4122234101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1013207 + ... + 1108806.

It is an arithmetic number, because the mean of its divisors is an integer number (4933682550).

Almost surely, 2^101432221400 is an apocalyptic number.

101432221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101432221400 is an abundant number, since it is smaller than the sum of its proper divisors (135384541000).

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

101432221400 is a wasteful number, since it uses less digits than its factorization.

101432221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122268 (or 2122259 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101432221400 its reverse (4122234101), we get a palindrome (105554455501).

The spelling of 101432221400 in words is "one hundred one billion, four hundred thirty-two million, two hundred twenty-one thousand, four hundred".