2120121101011 has 16 divisors (see below), whose sum is σ = 2133759444480. Its totient is φ = 2106532939680.

The previous prime is 2120121100987. The next prime is 2120121101039. The reversal of 2120121101011 is 1101011210212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2120121101011 - 2¹⁵ = 2120121068243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120121100982 and 2120121101000.

It is not an unprimeable number, because it can be changed into a prime (2120121101051) 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, 286073896 + ... + 286081306.

It is an arithmetic number, because the mean of its divisors is an integer number (133359965280).

Almost surely, 2^{2120121101011} is an apocalyptic number.

2120121101011 is a deficient number, since it is larger than the sum of its proper divisors (13638343469).

2120121101011 is a wasteful number, since it uses less digits than its factorization.

2120121101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10554.

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

Adding to 2120121101011 its reverse (1101011210212), we get a palindrome (3221132311223).

The spelling of 2120121101011 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, one hundred one thousand, eleven".