21312100101 has 16 divisors (see below), whose sum is σ = 30290355200. Its totient is φ = 13289887728.

The previous prime is 21312100091. The next prime is 21312100109. The reversal of 21312100101 is 10100121312.

It is not a de Polignac number, because 21312100101 - 2⁶ = 21312100037 is a prime.

It is a super-3 number, since 3×21312100101³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312100109) 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, 2361931 + ... + 2370936.

It is an arithmetic number, because the mean of its divisors is an integer number (1893147200).

Almost surely, 2^21312100101 is an apocalyptic number.

It is an amenable number.

21312100101 is a deficient number, since it is larger than the sum of its proper divisors (8978255099).

21312100101 is a wasteful number, since it uses less digits than its factorization.

21312100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732968.

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

Adding to 21312100101 its reverse (10100121312), we get a palindrome (31412221413).

The spelling of 21312100101 in words is "twenty-one billion, three hundred twelve million, one hundred thousand, one hundred one".