1011010001221 has 16 divisors (see below), whose sum is σ = 1106341619328. Its totient is φ = 916250731200.

The previous prime is 1011010001213. The next prime is 1011010001227. The reversal of 1011010001221 is 1221000101101.

1011010001221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1011010001221 - 2³ = 1011010001213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011010001198 and 1011010001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011010001227) 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, 9948456 + ... + 10049566.

It is an arithmetic number, because the mean of its divisors is an integer number (69146351208).

Almost surely, 2^{1011010001221} is an apocalyptic number.

1011010001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011010001221 is a deficient number, since it is larger than the sum of its proper divisors (95331618107).

1011010001221 is a wasteful number, since it uses less digits than its factorization.

1011010001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103932.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011010001221 its reverse (1221000101101), we get a palindrome (2232010102322).

The spelling of 1011010001221 in words is "one trillion, eleven billion, ten million, one thousand, two hundred twenty-one".