10200121222201 has 12 divisors (see below), whose sum is σ = 10775074552932. Its totient is φ = 9654431308704.

The previous prime is 10200121222171. The next prime is 10200121222241. The reversal of 10200121222201 is 10222212100201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7669797913600 + 2530323308601 = 2769440^2 + 1590699^2 .

It is not a de Polignac number, because 10200121222201 - 2¹⁷ = 10200121091129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200121222241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12530946 + ... + 13320091.

It is an arithmetic number, because the mean of its divisors is an integer number (897922879411).

Almost surely, 2^{10200121222201} is an apocalyptic number.

It is an amenable number.

10200121222201 is a deficient number, since it is larger than the sum of its proper divisors (574953330731).

10200121222201 is a wasteful number, since it uses less digits than its factorization.

10200121222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25852168 (or 25852149 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10200121222201 its reverse (10222212100201), we get a palindrome (20422333322402).

The spelling of 10200121222201 in words is "ten trillion, two hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred one".