1011001212221 has 64 divisors (see below), whose sum is σ = 1375560990720. Its totient is φ = 717492522240.

The previous prime is 1011001212217. The next prime is 1011001212289. The reversal of 1011001212221 is 1222121001101.

It is not a de Polignac number, because 1011001212221 - 2² = 1011001212217 is a prime.

It is a super-2 number, since 2×1011001212221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011001212196 and 1011001212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011001212521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144157511 + ... + 144164523.

It is an arithmetic number, because the mean of its divisors is an integer number (21493140480).

Almost surely, 2^{1011001212221} is an apocalyptic number.

1011001212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011001212221 is a deficient number, since it is larger than the sum of its proper divisors (364559778499).

1011001212221 is a wasteful number, since it uses less digits than its factorization.

1011001212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946.

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

Adding to 1011001212221 its reverse (1222121001101), we get a palindrome (2233122213322).

The spelling of 1011001212221 in words is "one trillion, eleven billion, one million, two hundred twelve thousand, two hundred twenty-one".