2210100112101 has 8 divisors (see below), whose sum is σ = 3367771599424. Its totient is φ = 1262914349760.

The previous prime is 2210100112091. The next prime is 2210100112139. The reversal of 2210100112101 is 1012110010122.

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

It is not a de Polignac number, because 2210100112101 - 2²⁶ = 2210033003237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210100116101) 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, 52621431220 + ... + 52621431261.

It is an arithmetic number, because the mean of its divisors is an integer number (420971449928).

Almost surely, 2^{2210100112101} is an apocalyptic number.

2210100112101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210100112101 is a deficient number, since it is larger than the sum of its proper divisors (1157671487323).

2210100112101 is a wasteful number, since it uses less digits than its factorization.

2210100112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105242862491.

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

Adding to 2210100112101 its reverse (1012110010122), we get a palindrome (3222210122223).

The spelling of 2210100112101 in words is "two trillion, two hundred ten billion, one hundred million, one hundred twelve thousand, one hundred one".