10202211001121 has 16 divisors (see below), whose sum is σ = 10689678552960. Its totient is φ = 9724567157760.

The previous prime is 10202211001069. The next prime is 10202211001127. The reversal of 10202211001121 is 12110011220201.

It is a cyclic number.

It is not a de Polignac number, because 10202211001121 - 2¹⁴ = 10202210984737 is a prime.

It is a super-2 number, since 2×10202211001121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10202211001096 and 10202211001105.

It is not an unprimeable number, because it can be changed into a prime (10202211001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6224045 + ... + 7690458.

It is an arithmetic number, because the mean of its divisors is an integer number (668104909560).

Almost surely, 2^{10202211001121} is an apocalyptic number.

It is an amenable number.

10202211001121 is a deficient number, since it is larger than the sum of its proper divisors (487467551839).

10202211001121 is a wasteful number, since it uses less digits than its factorization.

10202211001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914856.

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

Adding to 10202211001121 its reverse (12110011220201), we get a palindrome (22312222221322).

The spelling of 10202211001121 in words is "ten trillion, two hundred two billion, two hundred eleven million, one thousand, one hundred twenty-one".