10220211111121 has 16 divisors (see below), whose sum is σ = 11622927038976. Its totient is φ = 8902364400000.

The previous prime is 10220211111073. The next prime is 10220211111133. The reversal of 10220211111121 is 12111111202201.

It is a cyclic number.

It is not a de Polignac number, because 10220211111121 - 2¹³ = 10220211102929 is a prime.

It is a super-2 number, since 2×10220211111121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220211111095 and 10220211111104.

It is not an unprimeable number, because it can be changed into a prime (10220211118121) 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, 148338300 + ... + 148407181.

It is an arithmetic number, because the mean of its divisors is an integer number (726432939936).

Almost surely, 2^{10220211111121} is an apocalyptic number.

10220211111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220211111121 is a deficient number, since it is larger than the sum of its proper divisors (1402715927855).

10220211111121 is a wasteful number, since it uses less digits than its factorization.

10220211111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296745624.

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

Adding to 10220211111121 its reverse (12111111202201), we get a palindrome (22331322313322).

The spelling of 10220211111121 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".