101404121401 has 8 divisors (see below), whose sum is σ = 111184216704. Its totient is φ = 91717615920.

The previous prime is 101404121387. The next prime is 101404121407. The reversal of 101404121401 is 104121404101.

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 101404121401 - 2²⁹ = 100867250489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101404121407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23395185 + ... + 23399518.

It is an arithmetic number, because the mean of its divisors is an integer number (13898027088).

Almost surely, 2^101404121401 is an apocalyptic number.

101404121401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101404121401 is a deficient number, since it is larger than the sum of its proper divisors (9780095303).

101404121401 is a wasteful number, since it uses less digits than its factorization.

101404121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46794911.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101404121401 its reverse (104121404101), we get a palindrome (205525525502).

The spelling of 101404121401 in words is "one hundred one billion, four hundred four million, one hundred twenty-one thousand, four hundred one".