100211101020111 has 32 divisors (see below), whose sum is σ = 137318122967040. Its totient is φ = 64980602064000.

The previous prime is 100211101020101. The next prime is 100211101020137. The reversal of 100211101020111 is 111020101112001.

It is not a de Polignac number, because 100211101020111 - 2⁹ = 100211101019599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211101020101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24391701 + ... + 28202433.

It is an arithmetic number, because the mean of its divisors is an integer number (4291191342720).

Almost surely, 2^{100211101020111} is an apocalyptic number.

100211101020111 is a deficient number, since it is larger than the sum of its proper divisors (37107021946929).

100211101020111 is a wasteful number, since it uses less digits than its factorization.

100211101020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812367.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100211101020111 its reverse (111020101112001), we get a palindrome (211231202132112).

The spelling of 100211101020111 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, twenty thousand, one hundred eleven".