100210010100011 has 12 divisors (see below), whose sum is σ = 116574731208720. Its totient is φ = 85891418378640.

The previous prime is 100210010099981. The next prime is 100210010100071. The reversal of 100210010100011 is 110001010012001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100210010100011 is a prime.

It is a super-2 number, since 2×100210010100011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210010100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32759000 + ... + 35687141.

It is an arithmetic number, because the mean of its divisors is an integer number (9714560934060).

Almost surely, 2^{100210010100011} is an apocalyptic number.

100210010100011 is a deficient number, since it is larger than the sum of its proper divisors (16364721108709).

100210010100011 is an equidigital number, since it uses as much as digits as its factorization.

100210010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68476034 (or 68476027 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100210010100011 its reverse (110001010012001), we get a palindrome (210211020112012).

The spelling of 100210010100011 in words is "one hundred trillion, two hundred ten billion, ten million, one hundred thousand, eleven".