12121000102101 has 16 divisors (see below), whose sum is σ = 17805105465408. Its totient is φ = 7273327392000.

The previous prime is 12121000102093. The next prime is 12121000102103. The reversal of 12121000102101 is 10120100012121.

12121000102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121000102101 - 2³ = 12121000102093 is a prime.

It is a super-2 number, since 2×12121000102101² (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 (12121000102103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1818328516 + ... + 1818335181.

It is an arithmetic number, because the mean of its divisors is an integer number (1112819091588).

Almost surely, 2^{12121000102101} is an apocalyptic number.

12121000102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12121000102101 is a deficient number, since it is larger than the sum of its proper divisors (5684105363307).

12121000102101 is a wasteful number, since it uses less digits than its factorization.

12121000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636663812.

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

Adding to 12121000102101 its reverse (10120100012121), we get a palindrome (22241100114222).

The spelling of 12121000102101 in words is "twelve trillion, one hundred twenty-one billion, one hundred two thousand, one hundred one".