1011102001221 has 32 divisors (see below), whose sum is σ = 1509449760000. Its totient is φ = 597741838848.

The previous prime is 1011102001213. The next prime is 1011102001229. The reversal of 1011102001221 is 1221002011101.

It is an interprime number because it is at equal distance from previous prime (1011102001213) and next prime (1011102001229).

It is not a de Polignac number, because 1011102001221 - 2³ = 1011102001213 is a prime.

It is a super-2 number, since 2×1011102001221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011102001197 and 1011102001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011102001229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021136 + ... + 2471273.

It is an arithmetic number, because the mean of its divisors is an integer number (47170305000).

Almost surely, 2^{1011102001221} is an apocalyptic number.

It is an amenable number.

1011102001221 is a deficient number, since it is larger than the sum of its proper divisors (498347758779).

1011102001221 is a wasteful number, since it uses less digits than its factorization.

1011102001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492653.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011102001221 its reverse (1221002011101), we get a palindrome (2232104012322).

The spelling of 1011102001221 in words is "one trillion, eleven billion, one hundred two million, one thousand, two hundred twenty-one".