21200102101 has 16 divisors (see below), whose sum is σ = 21991108608. Its totient is φ = 20423248000.

The previous prime is 21200102081. The next prime is 21200102159. The reversal of 21200102101 is 10120100212.

It is not a de Polignac number, because 21200102101 - 2⁵ = 21200102069 is a prime.

It is a super-2 number, since 2×21200102101² (a number of 21 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 (21200102191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579320 + ... + 1592686.

It is an arithmetic number, because the mean of its divisors is an integer number (1374444288).

Almost surely, 2^21200102101 is an apocalyptic number.

It is an amenable number.

21200102101 is a deficient number, since it is larger than the sum of its proper divisors (791006507).

21200102101 is a wasteful number, since it uses less digits than its factorization.

21200102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13892.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21200102101 its reverse (10120100212), we get a palindrome (31320202313).

The spelling of 21200102101 in words is "twenty-one billion, two hundred million, one hundred two thousand, one hundred one".