21011012102101 has 24 divisors (see below), whose sum is σ = 24962728663296. Its totient is φ = 17625328812000.

The previous prime is 21011012102089. The next prime is 21011012102117. The reversal of 21011012102101 is 10120121011012.

It is a happy number.

It is not a de Polignac number, because 21011012102101 - 2¹¹ = 21011012100053 is a prime.

It is a super-2 number, since 2×21011012102101² (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 (21011012102191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45255595 + ... + 45717511.

It is an arithmetic number, because the mean of its divisors is an integer number (1040113694304).

Almost surely, 2^{21011012102101} is an apocalyptic number.

It is an amenable number.

21011012102101 is a deficient number, since it is larger than the sum of its proper divisors (3951716561195).

21011012102101 is a wasteful number, since it uses less digits than its factorization.

21011012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481729 (or 481722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21011012102101 its reverse (10120121011012), we get a palindrome (31131133113113).

The spelling of 21011012102101 in words is "twenty-one trillion, eleven billion, twelve million, one hundred two thousand, one hundred one".