21121100002101 has 64 divisors (see below), whose sum is σ = 31350189404160. Its totient is φ = 12542044800000.

The previous prime is 21121100002073. The next prime is 21121100002193. The reversal of 21121100002101 is 10120000112112.

It is not a de Polignac number, because 21121100002101 - 2³¹ = 21118952518453 is a prime.

It is a super-2 number, since 2×21121100002101² (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 (21121100004101) 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, 132283645 + ... + 132443213.

It is an arithmetic number, because the mean of its divisors is an integer number (489846709440).

Almost surely, 2^{21121100002101} is an apocalyptic number.

It is an amenable number.

21121100002101 is a deficient number, since it is larger than the sum of its proper divisors (10229089402059).

21121100002101 is a wasteful number, since it uses less digits than its factorization.

21121100002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160098.

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

Adding to 21121100002101 its reverse (10120000112112), we get a palindrome (31241100114213).

The spelling of 21121100002101 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, two thousand, one hundred one".