21130020102101 has 16 divisors (see below), whose sum is σ = 21844081461888. Its totient is φ = 20431191110400.

The previous prime is 21130020101923. The next prime is 21130020102131. The reversal of 21130020102101 is 10120102003112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21130020102101 is a prime.

It is a super-2 number, since 2×21130020102101² (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 (21130020102131) 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, 12278840 + ... + 13893521.

It is an arithmetic number, because the mean of its divisors is an integer number (1365255091368).

Almost surely, 2^{21130020102101} is an apocalyptic number.

It is an amenable number.

21130020102101 is a deficient number, since it is larger than the sum of its proper divisors (714061359787).

21130020102101 is a wasteful number, since it uses less digits than its factorization.

21130020102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26172652.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21130020102101 its reverse (10120102003112), we get a palindrome (31250122105213).

The spelling of 21130020102101 in words is "twenty-one trillion, one hundred thirty billion, twenty million, one hundred two thousand, one hundred one".