10020221112011 has 16 divisors (see below), whose sum is σ = 10939871799168. Its totient is φ = 9102026894400.

The previous prime is 10020221111993. The next prime is 10020221112023. The reversal of 10020221112011 is 11021112202001.

It is a de Polignac number, because none of the positive numbers 2^k-10020221112011 is a prime.

It is a super-2 number, since 2×10020221112011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020221112071) 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, 71926655 + ... + 72065831.

It is an arithmetic number, because the mean of its divisors is an integer number (683741987448).

Almost surely, 2^{10020221112011} is an apocalyptic number.

10020221112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10020221112011 is a deficient number, since it is larger than the sum of its proper divisors (919650687157).

10020221112011 is a wasteful number, since it uses less digits than its factorization.

10020221112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144362.

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

Adding to 10020221112011 its reverse (11021112202001), we get a palindrome (21041333314012).

The spelling of 10020221112011 in words is "ten trillion, twenty billion, two hundred twenty-one million, one hundred twelve thousand, eleven".