10122211121 has 8 divisors (see below), whose sum is σ = 11059646688. Its totient is φ = 9187648000.

The previous prime is 10122211087. The next prime is 10122211153. The reversal of 10122211121 is 12111222101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122211121 - 2¹⁴ = 10122194737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122211096 and 10122211105.

It is not an unprimeable number, because it can be changed into a prime (10122211921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710735 + ... + 724836.

It is an arithmetic number, because the mean of its divisors is an integer number (1382455836).

Almost surely, 2^10122211121 is an apocalyptic number.

10122211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122211121 is a deficient number, since it is larger than the sum of its proper divisors (937435567).

10122211121 is a wasteful number, since it uses less digits than its factorization.

10122211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436223.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122211121 its reverse (12111222101), we get a palindrome (22233433222).

It can be divided in two parts, 101 and 22211121, that added together give a palindrome (22211222).

The spelling of 10122211121 in words is "ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".