101401113212121 has 8 divisors (see below), whose sum is σ = 135205545862240. Its totient is φ = 67598711351712.

The previous prime is 101401113212111. The next prime is 101401113212131. The reversal of 101401113212121 is 121212311104101.

It is an interprime number because it is at equal distance from previous prime (101401113212111) and next prime (101401113212131).

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

It is not a de Polignac number, because 101401113212121 - 2⁶ = 101401113212057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101401113212101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 507580915 + ... + 507780648.

It is an arithmetic number, because the mean of its divisors is an integer number (16900693232780).

Almost surely, 2^{101401113212121} is an apocalyptic number.

It is an amenable number.

101401113212121 is a deficient number, since it is larger than the sum of its proper divisors (33804432650119).

101401113212121 is a wasteful number, since it uses less digits than its factorization.

101401113212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015394855.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 101401113212121 its reverse (121212311104101), we get a palindrome (222613424316222).

The spelling of 101401113212121 in words is "one hundred one trillion, four hundred one billion, one hundred thirteen million, two hundred twelve thousand, one hundred twenty-one".