100122011000011 has 48 divisors (see below), whose sum is σ = 136844631076608. Its totient is φ = 72008174145600.

The previous prime is 100122010999979. The next prime is 100122011000027. The reversal of 100122011000011 is 110000110221001.

It is not a de Polignac number, because 100122011000011 - 2⁵ = 100122010999979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100122011000041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65552256 + ... + 67062226.

It is an arithmetic number, because the mean of its divisors is an integer number (2850929814096).

Almost surely, 2^{100122011000011} is an apocalyptic number.

100122011000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100122011000011 is a deficient number, since it is larger than the sum of its proper divisors (36722620076597).

100122011000011 is a wasteful number, since it uses less digits than its factorization.

100122011000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519472 (or 1519465 counting only the distinct ones).

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

Adding to 100122011000011 its reverse (110000110221001), we get a palindrome (210122121221012).

The spelling of 100122011000011 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, eleven", and thus it is an aban number.