214001103121 has 32 divisors (see below), whose sum is σ = 238883420160. Its totient is φ = 190376524800.

The previous prime is 214001103109. The next prime is 214001103137. The reversal of 214001103121 is 121301100412.

214001103121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 214001103121 - 2³¹ = 211853619473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214001103095 and 214001103104.

It is not an unprimeable number, because it can be changed into a prime (214001103161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155863191 + ... + 155864563.

It is an arithmetic number, because the mean of its divisors is an integer number (7465106880).

Almost surely, 2^214001103121 is an apocalyptic number.

It is an amenable number.

214001103121 is a deficient number, since it is larger than the sum of its proper divisors (24882317039).

214001103121 is a wasteful number, since it uses less digits than its factorization.

214001103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 214001103121 its reverse (121301100412), we get a palindrome (335302203533).

The spelling of 214001103121 in words is "two hundred fourteen billion, one million, one hundred three thousand, one hundred twenty-one".