21100213101 has 16 divisors (see below), whose sum is σ = 30995097408. Its totient is φ = 12661392000.

The previous prime is 21100213093. The next prime is 21100213109. The reversal of 21100213101 is 10131200112.

It is an interprime number because it is at equal distance from previous prime (21100213093) and next prime (21100213109).

It is not a de Polignac number, because 21100213101 - 2³ = 21100213093 is a prime.

It is a super-2 number, since 2×21100213101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100213109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3162016 + ... + 3168681.

It is an arithmetic number, because the mean of its divisors is an integer number (1937193588).

Almost surely, 2^21100213101 is an apocalyptic number.

It is an amenable number.

21100213101 is a deficient number, since it is larger than the sum of its proper divisors (9894884307).

21100213101 is a wasteful number, since it uses less digits than its factorization.

21100213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330812.

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

Adding to 21100213101 its reverse (10131200112), we get a palindrome (31231413213).

The spelling of 21100213101 in words is "twenty-one billion, one hundred million, two hundred thirteen thousand, one hundred one".