101321201123121 has 64 divisors (see below), whose sum is σ = 159235227648000. Its totient is φ = 56101715904000.

The previous prime is 101321201123099. The next prime is 101321201123141. The reversal of 101321201123121 is 121321102123101.

It is not a de Polignac number, because 101321201123121 - 2¹³ = 101321201114929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101321201123141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1877995696 + ... + 1878049646.

It is an arithmetic number, because the mean of its divisors is an integer number (2488050432000).

Almost surely, 2^{101321201123121} is an apocalyptic number.

It is an amenable number.

101321201123121 is a deficient number, since it is larger than the sum of its proper divisors (57914026524879).

101321201123121 is a wasteful number, since it uses less digits than its factorization.

101321201123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68790.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101321201123121 its reverse (121321102123101), we get a palindrome (222642303246222).

The spelling of 101321201123121 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred one million, one hundred twenty-three thousand, one hundred twenty-one".