2111011102101 has 128 divisors (see below), whose sum is σ = 3513677045760. Its totient is φ = 1110432153600.

The previous prime is 2111011102093. The next prime is 2111011102111. The reversal of 2111011102101 is 1012011101112.

It is not a de Polignac number, because 2111011102101 - 2³ = 2111011102093 is a prime.

It is a super-2 number, since 2×2111011102101² (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 (2111011102111) 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 127 ways as a sum of consecutive naturals, for example, 202334581 + ... + 202345013.

It is an arithmetic number, because the mean of its divisors is an integer number (27450601920).

Almost surely, 2^{2111011102101} is an apocalyptic number.

It is an amenable number.

2111011102101 is a deficient number, since it is larger than the sum of its proper divisors (1402665943659).

2111011102101 is a wasteful number, since it uses less digits than its factorization.

2111011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10987.

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

Adding to 2111011102101 its reverse (1012011101112), we get a palindrome (3123022203213).

The spelling of 2111011102101 in words is "two trillion, one hundred eleven billion, eleven million, one hundred two thousand, one hundred one".