100210122100011 has 32 divisors (see below), whose sum is σ = 166593654286848. Its totient is φ = 52053895607040.

The previous prime is 100210122100003. The next prime is 100210122100037. The reversal of 100210122100011 is 110001221012001.

It is not a de Polignac number, because 100210122100011 - 2³ = 100210122100003 is a prime.

It is a super-2 number, since 2×100210122100011² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100210122100011.

It is not an unprimeable number, because it can be changed into a prime (100210122100061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10152306 + ... + 17420951.

It is an arithmetic number, because the mean of its divisors is an integer number (5206051696464).

Almost surely, 2^{100210122100011} is an apocalyptic number.

100210122100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210122100011 is a deficient number, since it is larger than the sum of its proper divisors (66383532186837).

100210122100011 is a wasteful number, since it uses less digits than its factorization.

100210122100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27589011.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210122100011 its reverse (110001221012001), we get a palindrome (210211343112012).

The spelling of 100210122100011 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-two million, one hundred thousand, eleven".