21210120102101 has 16 divisors (see below), whose sum is σ = 25666181925120. Its totient is φ = 17110582298880.

The previous prime is 21210120102071. The next prime is 21210120102151. The reversal of 21210120102101 is 10120102101212.

It is not a de Polignac number, because 21210120102101 - 2⁴² = 16812073590997 is a prime.

It is a super-2 number, since 2×21210120102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210120102151) 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, 24086111 + ... + 24951171.

It is an arithmetic number, because the mean of its divisors is an integer number (1604136370320).

Almost surely, 2^{21210120102101} is an apocalyptic number.

It is an amenable number.

21210120102101 is a deficient number, since it is larger than the sum of its proper divisors (4456061823019).

21210120102101 is a wasteful number, since it uses less digits than its factorization.

21210120102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071124.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21210120102101 its reverse (10120102101212), we get a palindrome (31330222203313).

It can be divided in two parts, 212 and 10120102101, that multiplied together give a palindrome (2145461645412).

The spelling of 21210120102101 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty million, one hundred two thousand, one hundred one".