100211121111009 has 16 divisors (see below), whose sum is σ = 133738125796800. Its totient is φ = 66745790259456.

The previous prime is 100211121110959. The next prime is 100211121111041. The reversal of 100211121111009 is 900111121112001.

It is a happy number.

100211121111009 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100211121111009 - 2¹³ = 100211121102817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211121111709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12916357 + ... + 19163885.

It is an arithmetic number, because the mean of its divisors is an integer number (8358632862300).

Almost surely, 2^{100211121111009} is an apocalyptic number.

It is an amenable number.

100211121111009 is a deficient number, since it is larger than the sum of its proper divisors (33527004685791).

100211121111009 is a wasteful number, since it uses less digits than its factorization.

100211121111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252464.

The product of its (nonzero) digits is 36, while the sum is 21.

It can be divided in two parts, 10021112 and 1111009, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 100211121111009 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, nine".