2210412011121 has 32 divisors (see below), whose sum is σ = 3278782362240. Its totient is φ = 1471764772800.

The previous prime is 2210412011057. The next prime is 2210412011131. The reversal of 2210412011121 is 1211102140122.

2210412011121 is a `hidden beast` number, since 221 + 0 + 412 + 0 + 1 + 11 + 21 = 666.

It is not a de Polignac number, because 2210412011121 - 2⁶ = 2210412011057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210412011094 and 2210412011103.

It is not an unprimeable number, because it can be changed into a prime (2210412011131) 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, 129308251 + ... + 129325343.

It is an arithmetic number, because the mean of its divisors is an integer number (102461948820).

Almost surely, 2^{2210412011121} is an apocalyptic number.

It is an amenable number.

2210412011121 is a deficient number, since it is larger than the sum of its proper divisors (1068370351119).

2210412011121 is a wasteful number, since it uses less digits than its factorization.

2210412011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814 (or 22808 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2210412011121 its reverse (1211102140122), we get a palindrome (3421514151243).

The spelling of 2210412011121 in words is "two trillion, two hundred ten billion, four hundred twelve million, eleven thousand, one hundred twenty-one".