100210211200011 has 64 divisors (see below), whose sum is σ = 158803313481216. Its totient is φ = 55527124224000.

The previous prime is 100210211199947. The next prime is 100210211200051. The reversal of 100210211200011 is 110002112012001.

It is not a de Polignac number, because 100210211200011 - 2⁶ = 100210211199947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100210211200011.

It is not an unprimeable number, because it can be changed into a prime (100210211200051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13681801 + ... + 19687866.

It is an arithmetic number, because the mean of its divisors is an integer number (2481301773144).

Almost surely, 2^{100210211200011} is an apocalyptic number.

100210211200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210211200011 is a deficient number, since it is larger than the sum of its proper divisors (58593102281205).

100210211200011 is a wasteful number, since it uses less digits than its factorization.

100210211200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33369852.

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

Adding to 100210211200011 its reverse (110002112012001), we get a palindrome (210212323212012).

The spelling of 100210211200011 in words is "one hundred trillion, two hundred ten billion, two hundred eleven million, two hundred thousand, eleven".