10202201211121 has 6 divisors (see below), whose sum is σ = 10457104514966. Its totient is φ = 9953367033600.

The previous prime is 10202201211109. The next prime is 10202201211133. The reversal of 10202201211121 is 12111210220201.

It is an interprime number because it is at equal distance from previous prime (10202201211109) and next prime (10202201211133).

It can be written as a sum of positive squares in 3 ways, for example, as 474632812096 + 9727568399025 = 688936^2 + 3118905^2 .

It is not a de Polignac number, because 10202201211121 - 2³¹ = 10200053727473 is a prime.

It is a super-3 number, since 3×10202201211121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202201211095 and 10202201211104.

It is not an unprimeable number, because it can be changed into a prime (10202201211151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3034561440 + ... + 3034564801.

Almost surely, 2^{10202201211121} is an apocalyptic number.

It is an amenable number.

10202201211121 is a deficient number, since it is larger than the sum of its proper divisors (254903303845).

10202201211121 is an frugal number, since it uses more digits than its factorization.

10202201211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069126323 (or 6069126282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10202201211121 its reverse (12111210220201), we get a palindrome (22313411431322).

The spelling of 10202201211121 in words is "ten trillion, two hundred two billion, two hundred one million, two hundred eleven thousand, one hundred twenty-one".