2101311021121 has 16 divisors (see below), whose sum is σ = 2305791956160. Its totient is φ = 1902954905280.

The previous prime is 2101311021107. The next prime is 2101311021133. The reversal of 2101311021121 is 1211201131012.

It is a happy number.

It is not a de Polignac number, because 2101311021121 - 2⁷ = 2101311020993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101311021095 and 2101311021104.

It is not an unprimeable number, because it can be changed into a prime (2101311021151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12025186 + ... + 12198676.

It is an arithmetic number, because the mean of its divisors is an integer number (144111997260).

Almost surely, 2^{2101311021121} is an apocalyptic number.

It is an amenable number.

2101311021121 is a deficient number, since it is larger than the sum of its proper divisors (204480935039).

2101311021121 is a wasteful number, since it uses less digits than its factorization.

2101311021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191136.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2101311021121 its reverse (1211201131012), we get a palindrome (3312512152133).

The spelling of 2101311021121 in words is "two trillion, one hundred one billion, three hundred eleven million, twenty-one thousand, one hundred twenty-one".