100210012122111 has 64 divisors (see below), whose sum is σ = 138127799040000. Its totient is φ = 64574709083136.

The previous prime is 100210012122097. The next prime is 100210012122151. The reversal of 100210012122111 is 111221210012001.

It is a happy number.

It is not a de Polignac number, because 100210012122111 - 2⁹ = 100210012121599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210012122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36453258765 + ... + 36453261513.

It is an arithmetic number, because the mean of its divisors is an integer number (2158246860000).

Almost surely, 2^{100210012122111} is an apocalyptic number.

100210012122111 is a deficient number, since it is larger than the sum of its proper divisors (37917786917889).

100210012122111 is a wasteful number, since it uses less digits than its factorization.

100210012122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100210012122111 its reverse (111221210012001), we get a palindrome (211431222134112).

The spelling of 100210012122111 in words is "one hundred trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, one hundred eleven".