100210101200111 has 32 divisors (see below), whose sum is σ = 119220901933056. Its totient is φ = 82421022528000.

The previous prime is 100210101200087. The next prime is 100210101200177. The reversal of 100210101200111 is 111002101012001.

It is a cyclic number.

It is not a de Polignac number, because 100210101200111 - 2²² = 100210097005807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210101200092 and 100210101200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210101205111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33028871 + ... + 35935031.

It is an arithmetic number, because the mean of its divisors is an integer number (3725653185408).

Almost surely, 2^{100210101200111} is an apocalyptic number.

100210101200111 is a deficient number, since it is larger than the sum of its proper divisors (19010800732945).

100210101200111 is a wasteful number, since it uses less digits than its factorization.

100210101200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907543.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100210101200111 its reverse (111002101012001), we get a palindrome (211212202212112).

It can be divided in two parts, 1002101012001 and 11, that multiplied together give a palindrome (11023111132011).

The spelling of 100210101200111 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two hundred thousand, one hundred eleven".