101321212013121 has 16 divisors (see below), whose sum is σ = 140969637918720. Its totient is φ = 64610171854800.

The previous prime is 101321212013107. The next prime is 101321212013179. The reversal of 101321212013121 is 121310212123101.

It is not a de Polignac number, because 101321212013121 - 2⁶ = 101321212013057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101321212013621) 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 15 ways as a sum of consecutive naturals, for example, 4800840 + ... + 15022998.

It is an arithmetic number, because the mean of its divisors is an integer number (8810602369920).

Almost surely, 2^{101321212013121} is an apocalyptic number.

It is an amenable number.

101321212013121 is a deficient number, since it is larger than the sum of its proper divisors (39648425905599).

101321212013121 is a wasteful number, since it uses less digits than its factorization.

101321212013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365836.

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

Adding to 101321212013121 its reverse (121310212123101), we get a palindrome (222631424136222).

The spelling of 101321212013121 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twelve million, thirteen thousand, one hundred twenty-one".