100101011102211 has 16 divisors (see below), whose sum is σ = 153025339903488. Its totient is φ = 57016653081600.

The previous prime is 100101011101991. The next prime is 100101011102219. The reversal of 100101011102211 is 112201110101001.

It is not a de Polignac number, because 100101011102211 - 2¹⁸ = 100101010840067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101011102219) 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, 7663522110 + ... + 7663535171.

It is an arithmetic number, because the mean of its divisors is an integer number (9564083743968).

Almost surely, 2^{100101011102211} is an apocalyptic number.

100101011102211 is a deficient number, since it is larger than the sum of its proper divisors (52924328801277).

100101011102211 is a wasteful number, since it uses less digits than its factorization.

100101011102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15327057602.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101011102211 its reverse (112201110101001), we get a palindrome (212302121203212).

The spelling of 100101011102211 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred two thousand, two hundred eleven".