100210121102011 has 16 divisors (see below), whose sum is σ = 105102481196160. Its totient is φ = 95444821739520.

The previous prime is 100210121101969. The next prime is 100210121102087. The reversal of 100210121102011 is 110201121012001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100210121102011 - 2²⁷ = 100209986884283 is a prime.

It is a super-3 number, since 3×100210121102011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210121101982 and 100210121102000.

It is not an unprimeable number, because it can be changed into a prime (100210121102711) 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 15 ways as a sum of consecutive naturals, for example, 64730166 + ... + 66260203.

It is an arithmetic number, because the mean of its divisors is an integer number (6568905074760).

Almost surely, 2^{100210121102011} is an apocalyptic number.

100210121102011 is a deficient number, since it is larger than the sum of its proper divisors (4892360094149).

100210121102011 is a wasteful number, since it uses less digits than its factorization.

100210121102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130990854.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100210121102011 its reverse (110201121012001), we get a palindrome (210411242114012).

The spelling of 100210121102011 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, one hundred two thousand, eleven".