21121121012101 has 4 divisors (see below), whose sum is σ = 23041222922304. Its totient is φ = 19201019101900.

The previous prime is 21121121012051. The next prime is 21121121012137. The reversal of 21121121012101 is 10121012112112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 21121121012101 - 2¹³ = 21121121003909 is a prime.

It is a super-2 number, since 2×21121121012101² (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 (21121121012801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 960050955085 + ... + 960050955106.

It is an arithmetic number, because the mean of its divisors is an integer number (5760305730576).

Almost surely, 2^{21121121012101} is an apocalyptic number.

It is an amenable number.

21121121012101 is a deficient number, since it is larger than the sum of its proper divisors (1920101910203).

21121121012101 is a wasteful number, since it uses less digits than its factorization.

21121121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920101910202.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21121121012101 its reverse (10121012112112), we get a palindrome (31242133124213).

It can be divided in two parts, 2112112 and 1012101, that added together give a palindrome (3124213).

The spelling of 21121121012101 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred one".