100022011100011 has 64 divisors (see below), whose sum is σ = 136589271920640. Its totient is φ = 70715301747840.

The previous prime is 100022011100003. The next prime is 100022011100021. The reversal of 100022011100011 is 110001110220001.

It is a cyclic number.

It is not a de Polignac number, because 100022011100011 - 2³ = 100022011100003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100022011100021) 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, 470180476 + ... + 470393158.

It is an arithmetic number, because the mean of its divisors is an integer number (2134207373760).

Almost surely, 2^{100022011100011} is an apocalyptic number.

100022011100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100022011100011 is a deficient number, since it is larger than the sum of its proper divisors (36567260820629).

100022011100011 is a wasteful number, since it uses less digits than its factorization.

100022011100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220736.

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

Adding to 100022011100011 its reverse (110001110220001), we get a palindrome (210023121320012).

The spelling of 100022011100011 in words is "one hundred trillion, twenty-two billion, eleven million, one hundred thousand, eleven".