10011012111221 has 8 divisors (see below), whose sum is σ = 10923095998944. Its totient is φ = 9099260203120.

The previous prime is 10011012111179. The next prime is 10011012111277. The reversal of 10011012111221 is 12211121011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011012111221 is a prime.

It is a super-2 number, since 2×10011012111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011012111196 and 10011012111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011012111521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82931846 + ... + 83052471.

It is an arithmetic number, because the mean of its divisors is an integer number (1365386999868).

Almost surely, 2^{10011012111221} is an apocalyptic number.

10011012111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011012111221 is a deficient number, since it is larger than the sum of its proper divisors (912083887723).

10011012111221 is a wasteful number, since it uses less digits than its factorization.

10011012111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165989811.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10011012111221 its reverse (12211121011001), we get a palindrome (22222133122222).

The spelling of 10011012111221 in words is "ten trillion, eleven billion, twelve million, one hundred eleven thousand, two hundred twenty-one".