100122122111011 has 64 divisors (see below), whose sum is σ = 141345273839616. Its totient is φ = 68358945283200.

The previous prime is 100122122111009. The next prime is 100122122111023. The reversal of 100122122111011 is 110111221221001.

It is not a de Polignac number, because 100122122111011 - 2¹ = 100122122111009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122122111071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13582411 + ... + 19614436.

It is an arithmetic number, because the mean of its divisors is an integer number (2208519903744).

Almost surely, 2^{100122122111011} is an apocalyptic number.

100122122111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122122111011 is a deficient number, since it is larger than the sum of its proper divisors (41223151728605).

100122122111011 is a wasteful number, since it uses less digits than its factorization.

100122122111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33197032.

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

Adding to 100122122111011 its reverse (110111221221001), we get a palindrome (210233343332012).

The spelling of 100122122111011 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, eleven".