100010221101011 has 8 divisors (see below), whose sum is σ = 108340612756320. Its totient is φ = 92317127168136.

The previous prime is 100010221100989. The next prime is 100010221101079. The reversal of 100010221101011 is 110101122010001.

It is a de Polignac number, because none of the positive numbers 2^k-100010221101011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010221100983 and 100010221101001.

It is not an unprimeable number, because it can be changed into a prime (100010221101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22760630735 + ... + 22760635128.

It is an arithmetic number, because the mean of its divisors is an integer number (13542576594540).

Almost surely, 2^{100010221101011} is an apocalyptic number.

100010221101011 is a deficient number, since it is larger than the sum of its proper divisors (8330391655309).

100010221101011 is an frugal number, since it uses more digits than its factorization.

100010221101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45521265902 (or 45521265876 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100010221101011 its reverse (110101122010001), we get a palindrome (210111343111012).

The spelling of 100010221101011 in words is "one hundred trillion, ten billion, two hundred twenty-one million, one hundred one thousand, eleven".