21121102101 has 48 divisors (see below), whose sum is σ = 32192032320. Its totient is φ = 12214920960.

The previous prime is 21121102091. The next prime is 21121102109. The reversal of 21121102101 is 10120112112.

It is not a de Polignac number, because 21121102101 - 2¹⁴ = 21121085717 is a prime.

It is a super-2 number, since 2×21121102101² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121102109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8884425 + ... + 8886801.

It is an arithmetic number, because the mean of its divisors is an integer number (670667340).

Almost surely, 2^21121102101 is an apocalyptic number.

It is an amenable number.

21121102101 is a deficient number, since it is larger than the sum of its proper divisors (11070930219).

21121102101 is a wasteful number, since it uses less digits than its factorization.

21121102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2923 counting only the distinct ones).

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

Adding to 21121102101 its reverse (10120112112), we get a palindrome (31241214213).

The spelling of 21121102101 in words is "twenty-one billion, one hundred twenty-one million, one hundred two thousand, one hundred one".