101241021332121 has 32 divisors (see below), whose sum is σ = 148617662371200. Its totient is φ = 60792416455680.

The previous prime is 101241021332083. The next prime is 101241021332137. The reversal of 101241021332121 is 121233120142101.

It is not a de Polignac number, because 101241021332121 - 2²⁶ = 101240954223257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101241021332091 and 101241021332100.

It is not an unprimeable number, because it can be changed into a prime (101241021332821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77105335 + ... + 78407363.

It is an arithmetic number, because the mean of its divisors is an integer number (4644301949100).

Almost surely, 2^{101241021332121} is an apocalyptic number.

101241021332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101241021332121 is a deficient number, since it is larger than the sum of its proper divisors (47376641039079).

101241021332121 is a wasteful number, since it uses less digits than its factorization.

101241021332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323769.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101241021332121 its reverse (121233120142101), we get a palindrome (222474141474222).

The spelling of 101241021332121 in words is "one hundred one trillion, two hundred forty-one billion, twenty-one million, three hundred thirty-two thousand, one hundred twenty-one".