211110102021 has 128 divisors (see below), whose sum is σ = 374800384000. Its totient is φ = 104842563840.

The previous prime is 211110101987. The next prime is 211110102029. The reversal of 211110102021 is 120201011112.

It is not a de Polignac number, because 211110102021 - 2¹⁰ = 211110100997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211110101988 and 211110102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15336540 + ... + 15350298.

It is an arithmetic number, because the mean of its divisors is an integer number (2928128000).

Almost surely, 2^211110102021 is an apocalyptic number.

211110102021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211110102021 is a deficient number, since it is larger than the sum of its proper divisors (163690281979).

211110102021 is a wasteful number, since it uses less digits than its factorization.

211110102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211110102021 its reverse (120201011112), we get a palindrome (331311113133).

Subtracting from 211110102021 its reverse (120201011112), we obtain a palindrome (90909090909).

The spelling of 211110102021 in words is "two hundred eleven billion, one hundred ten million, one hundred two thousand, twenty-one".