21100110102101 has 8 divisors (see below), whose sum is σ = 21784245609984. Its totient is φ = 20416192518960.

The previous prime is 21100110102091. The next prime is 21100110102139. The reversal of 21100110102101 is 10120101100112.

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

It is a cyclic number.

It is not a de Polignac number, because 21100110102101 - 2³⁰ = 21099036360277 is a prime.

It is a super-2 number, since 2×21100110102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100110102161) 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, 54284390 + ... + 54671703.

It is an arithmetic number, because the mean of its divisors is an integer number (2723030701248).

Almost surely, 2^{21100110102101} is an apocalyptic number.

It is an amenable number.

21100110102101 is a deficient number, since it is larger than the sum of its proper divisors (684135507883).

21100110102101 is a wasteful number, since it uses less digits than its factorization.

21100110102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108962371.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21100110102101 its reverse (10120101100112), we get a palindrome (31220211202213).

The spelling of 21100110102101 in words is "twenty-one trillion, one hundred billion, one hundred ten million, one hundred two thousand, one hundred one".