100102211011 has 16 divisors (see below), whose sum is σ = 113217408000. Its totient is φ = 87681823200.

The previous prime is 100102210973. The next prime is 100102211021. The reversal of 100102211011 is 110112201001.

It is a cyclic number.

It is not a de Polignac number, because 100102211011 - 2²⁷ = 99967993283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562861 + ... + 719038.

It is an arithmetic number, because the mean of its divisors is an integer number (7076088000).

Almost surely, 2^100102211011 is an apocalyptic number.

100102211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102211011 is a deficient number, since it is larger than the sum of its proper divisors (13115196989).

100102211011 is a wasteful number, since it uses less digits than its factorization.

100102211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282170.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102211011 its reverse (110112201001), we get a palindrome (210214412012).

It can be divided in two parts, 100102 and 211011, that added together give a palindrome (311113).

The spelling of 100102211011 in words is "one hundred billion, one hundred two million, two hundred eleven thousand, eleven".