101222110000011 has 192 divisors, whose sum is σ = 191305365221376. Its totient is φ = 46758612096000.

The previous prime is 101222109999991. The next prime is 101222110000013. The reversal of 101222110000011 is 110000011222101.

It is not a de Polignac number, because 101222110000011 - 2¹⁸ = 101222109737867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222110000013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77911206 + ... + 79199748.

It is an arithmetic number, because the mean of its divisors is an integer number (996382110528).

Almost surely, 2^{101222110000011} is an apocalyptic number.

101222110000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101222110000011 is a deficient number, since it is larger than the sum of its proper divisors (90083255221365).

101222110000011 is a wasteful number, since it uses less digits than its factorization.

101222110000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288722 (or 1288715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101222110000011 its reverse (110000011222101), we get a palindrome (211222121222112).

The spelling of 101222110000011 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred ten million, eleven", and thus it is an aban number.