100012221112111 has 64 divisors (see below), whose sum is σ = 132562986448896. Its totient is φ = 73152059904000.

The previous prime is 100012221112093. The next prime is 100012221112163. The reversal of 100012221112111 is 111211122210001.

It is not a de Polignac number, because 100012221112111 - 2⁵ = 100012221112079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012221112511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17738395 + ... + 22686451.

It is an arithmetic number, because the mean of its divisors is an integer number (2071296663264).

Almost surely, 2^{100012221112111} is an apocalyptic number.

100012221112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100012221112111 is a deficient number, since it is larger than the sum of its proper divisors (32550765336785).

100012221112111 is a wasteful number, since it uses less digits than its factorization.

100012221112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948312.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100012221112111 its reverse (111211122210001), we get a palindrome (211223343322112).

The spelling of 100012221112111 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, one hundred twelve thousand, one hundred eleven".