100101021020011 has 16 divisors (see below), whose sum is σ = 109242779379840. Its totient is φ = 90966212869120.

The previous prime is 100101021019997. The next prime is 100101021020041. The reversal of 100101021020011 is 110020120101001.

It is a cyclic number.

It is not a de Polignac number, because 100101021020011 - 2¹⁵ = 100101020987243 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101021020011.

It is not an unprimeable number, because it can be changed into a prime (100101021020041) 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, 350389035 + ... + 350674603.

It is an arithmetic number, because the mean of its divisors is an integer number (6827673711240).

Almost surely, 2^{100101021020011} is an apocalyptic number.

100101021020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101021020011 is a deficient number, since it is larger than the sum of its proper divisors (9141758359829).

100101021020011 is a wasteful number, since it uses less digits than its factorization.

100101021020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297626.

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

Adding to 100101021020011 its reverse (110020120101001), we get a palindrome (210121141121012).

The spelling of 100101021020011 in words is "one hundred trillion, one hundred one billion, twenty-one million, twenty thousand, eleven".