21100002101121 has 64 divisors (see below), whose sum is σ = 29335872384000. Its totient is φ = 13473697628160.

The previous prime is 21100002101107. The next prime is 21100002101137. The reversal of 21100002101121 is 12110120000112.

It is not a de Polignac number, because 21100002101121 - 2¹⁰ = 21100002100097 is a prime.

It is a super-2 number, since 2×21100002101121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100002101097 and 21100002101106.

It is not an unprimeable number, because it can be changed into a prime (21100002101221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7731769285 + ... + 7731772013.

It is an arithmetic number, because the mean of its divisors is an integer number (458373006000).

Almost surely, 2^{21100002101121} is an apocalyptic number.

It is an amenable number.

21100002101121 is a deficient number, since it is larger than the sum of its proper divisors (8235870282879).

21100002101121 is a wasteful number, since it uses less digits than its factorization.

21100002101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100002101121 its reverse (12110120000112), we get a palindrome (33210122101233).

The spelling of 21100002101121 in words is "twenty-one trillion, one hundred billion, two million, one hundred one thousand, one hundred twenty-one".