20101011022211 has 16 divisors (see below), whose sum is σ = 23673505502400. Its totient is φ = 17058849494400.

The previous prime is 20101011022201. The next prime is 20101011022259. The reversal of 20101011022211 is 11222011010102.

It is a de Polignac number, because none of the positive numbers 2^k-20101011022211 is a prime.

It is a super-2 number, since 2×20101011022211² (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 (20101011022201) 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 15 ways as a sum of consecutive naturals, for example, 290081846 + ... + 290151131.

It is an arithmetic number, because the mean of its divisors is an integer number (1479594093900).

Almost surely, 2^{20101011022211} is an apocalyptic number.

20101011022211 is a deficient number, since it is larger than the sum of its proper divisors (3572494480189).

20101011022211 is an equidigital number, since it uses as much as digits as its factorization.

20101011022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580233099 (or 580233085 counting only the distinct ones).

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

Adding to 20101011022211 its reverse (11222011010102), we get a palindrome (31323022032313).

The spelling of 20101011022211 in words is "twenty trillion, one hundred one billion, eleven million, twenty-two thousand, two hundred eleven".