2210010211101 has 128 divisors (see below), whose sum is σ = 4019556483072. Its totient is φ = 1044578304000.

The previous prime is 2210010211069. The next prime is 2210010211103. The reversal of 2210010211101 is 1011120100122.

2210010211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2210010211101 - 2⁵ = 2210010211069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210010211103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123310621 + ... + 123328541.

It is an arithmetic number, because the mean of its divisors is an integer number (31402785024).

Almost surely, 2^{2210010211101} is an apocalyptic number.

2210010211101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210010211101 is a deficient number, since it is larger than the sum of its proper divisors (1809546271971).

2210010211101 is a wasteful number, since it uses less digits than its factorization.

2210010211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19003.

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

Adding to 2210010211101 its reverse (1011120100122), we get a palindrome (3221130311223).

It can be divided in two parts, 22100 and 10211101, that added together give a palindrome (10233201).

The spelling of 2210010211101 in words is "two trillion, two hundred ten billion, ten million, two hundred eleven thousand, one hundred one".