2121120101101 has 16 divisors (see below), whose sum is σ = 2247265399680. Its totient is φ = 1995127905280.

The previous prime is 2121120101059. The next prime is 2121120101117. The reversal of 2121120101101 is 1011010211212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2121120101101 - 2²³ = 2121111712493 is a prime.

It is a super-2 number, since 2×2121120101101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121120101131) 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, 336095736 + ... + 336102046.

It is an arithmetic number, because the mean of its divisors is an integer number (140454087480).

Almost surely, 2^{2121120101101} is an apocalyptic number.

It is an amenable number.

2121120101101 is a deficient number, since it is larger than the sum of its proper divisors (126145298579).

2121120101101 is a wasteful number, since it uses less digits than its factorization.

2121120101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2121120101101 its reverse (1011010211212), we get a palindrome (3132130312313).

The spelling of 2121120101101 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred one thousand, one hundred one".