2120120101101 has 16 divisors (see below), whose sum is σ = 3056028977600. Its totient is φ = 1302833403648.

The previous prime is 2120120101069. The next prime is 2120120101153. The reversal of 2120120101101 is 1011010210212.

It is not a de Polignac number, because 2120120101101 - 2⁵ = 2120120101069 is a prime.

It is a super-2 number, since 2×2120120101101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120120101201) 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, 502634236 + ... + 502638453.

It is an arithmetic number, because the mean of its divisors is an integer number (191001811100).

Almost surely, 2^{2120120101101} is an apocalyptic number.

It is an amenable number.

2120120101101 is a deficient number, since it is larger than the sum of its proper divisors (935908876499).

2120120101101 is a wasteful number, since it uses less digits than its factorization.

2120120101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005272748.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2120120101101 its reverse (1011010210212), we get a palindrome (3131130311313).

The spelling of 2120120101101 in words is "two trillion, one hundred twenty billion, one hundred twenty million, one hundred one thousand, one hundred one".