100211111007 has 32 divisors (see below), whose sum is σ = 153607534080. Its totient is φ = 56924415360.

The previous prime is 100211110997. The next prime is 100211111017. The reversal of 100211111007 is 700111112001.

It is an interprime number because it is at equal distance from previous prime (100211110997) and next prime (100211111017).

It is not a de Polignac number, because 100211111007 - 2⁴ = 100211110991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15706344 + ... + 15712722.

It is an arithmetic number, because the mean of its divisors is an integer number (4800235440).

Almost surely, 2^100211111007 is an apocalyptic number.

100211111007 is a deficient number, since it is larger than the sum of its proper divisors (53396423073).

100211111007 is a wasteful number, since it uses less digits than its factorization.

100211111007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703.

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 100211111007 its reverse (700111112001), we get a palindrome (800322223008).

The spelling of 100211111007 in words is "one hundred billion, two hundred eleven million, one hundred eleven thousand, seven".