2110212121101 has 32 divisors (see below), whose sum is σ = 3224337666048. Its totient is φ = 1202548818240.

The previous prime is 2110212121091. The next prime is 2110212121103. The reversal of 2110212121101 is 1011212120112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2110212121101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110212121103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11387676 + ... + 11571498.

It is an arithmetic number, because the mean of its divisors is an integer number (100760552064).

Almost surely, 2^{2110212121101} is an apocalyptic number.

2110212121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2110212121101 is a deficient number, since it is larger than the sum of its proper divisors (1114125544947).

2110212121101 is a wasteful number, since it uses less digits than its factorization.

2110212121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185321.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2110212121101 its reverse (1011212120112), we get a palindrome (3121424241213).

The spelling of 2110212121101 in words is "two trillion, one hundred ten billion, two hundred twelve million, one hundred twenty-one thousand, one hundred one".