101410040121 has 24 divisors (see below), whose sum is σ = 146576587680. Its totient is φ = 62337090816.

The previous prime is 101410040093. The next prime is 101410040153. The reversal of 101410040121 is 121040014101.

It is not a de Polignac number, because 101410040121 - 2¹⁵ = 101410007353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101410040121.

It is not an unprimeable number, because it can be changed into a prime (101410041121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349585 + ... + 570113.

It is an arithmetic number, because the mean of its divisors is an integer number (6107357820).

Almost surely, 2^101410040121 is an apocalyptic number.

It is an amenable number.

101410040121 is a deficient number, since it is larger than the sum of its proper divisors (45166547559).

101410040121 is a wasteful number, since it uses less digits than its factorization.

101410040121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221465 (or 221452 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101410040121 its reverse (121040014101), we get a palindrome (222450054222).

It can be divided in two parts, 101410040 and 121, that added together give a triangular number (101410161 = T₁₄₂₄₁).

The spelling of 101410040121 in words is "one hundred one billion, four hundred ten million, forty thousand, one hundred twenty-one".