2010101111121 has 8 divisors (see below), whose sum is σ = 2700593859744. Its totient is φ = 1329837884960.

The previous prime is 2010101111101. The next prime is 2010101111159. The reversal of 2010101111121 is 1211111010102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2010101111121 - 2⁵ = 2010101111089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010101111097 and 2010101111106.

It is not an unprimeable number, because it can be changed into a prime (2010101111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557380156 + ... + 2557380941.

It is an arithmetic number, because the mean of its divisors is an integer number (337574232468).

Almost surely, 2^{2010101111121} is an apocalyptic number.

It is an amenable number.

2010101111121 is a deficient number, since it is larger than the sum of its proper divisors (690492748623).

2010101111121 is a wasteful number, since it uses less digits than its factorization.

2010101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114761231.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2010101111121 its reverse (1211111010102), we get a palindrome (3221212121223).

It can be divided in two parts, 201010 and 1111121, that added together give a palindrome (1312131).

The spelling of 2010101111121 in words is "two trillion, ten billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".