101421432401 has 8 divisors (see below), whose sum is σ = 101616832104. Its totient is φ = 101226101760.

The previous prime is 101421432397. The next prime is 101421432407. The reversal of 101421432401 is 104234124101.

It can be written as a sum of positive squares in 4 ways, for example, as 93330250000 + 8091182401 = 305500^2 + 89951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101421432401 - 2² = 101421432397 is a prime.

It is a super-2 number, since 2×101421432401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101421432407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3663431 + ... + 3691011.

It is an arithmetic number, because the mean of its divisors is an integer number (12702104013).

Almost surely, 2^101421432401 is an apocalyptic number.

It is an amenable number.

101421432401 is a deficient number, since it is larger than the sum of its proper divisors (195399703).

101421432401 is an equidigital number, since it uses as much as digits as its factorization.

101421432401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34531.

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

Adding to 101421432401 its reverse (104234124101), we get a palindrome (205655556502).

The spelling of 101421432401 in words is "one hundred one billion, four hundred twenty-one million, four hundred thirty-two thousand, four hundred one".