10211122102121 has 16 divisors (see below), whose sum is σ = 11257264957440. Its totient is φ = 9218954820240.

The previous prime is 10211122101997. The next prime is 10211122102123. The reversal of 10211122102121 is 12120122111201.

It is a cyclic number.

It is not a de Polignac number, because 10211122102121 - 2²² = 10211117907817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211122102121.

It is not an unprimeable number, because it can be changed into a prime (10211122102123) 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, 42993035 + ... + 43229888.

It is an arithmetic number, because the mean of its divisors is an integer number (703579059840).

Almost surely, 2^{10211122102121} is an apocalyptic number.

It is an amenable number.

10211122102121 is a deficient number, since it is larger than the sum of its proper divisors (1046142855319).

10211122102121 is a wasteful number, since it uses less digits than its factorization.

10211122102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86223236.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10211122102121 its reverse (12120122111201), we get a palindrome (22331244213322).

The spelling of 10211122102121 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".