107101667211 has 32 divisors (see below), whose sum is σ = 178131982848. Its totient is φ = 55608215040.

The previous prime is 107101667147. The next prime is 107101667213. The reversal of 107101667211 is 112766101701.

It is not a de Polignac number, because 107101667211 - 2⁶ = 107101667147 is a prime.

It is a super-2 number, since 2×107101667211² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107101667213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326595 + ... + 566451.

It is an arithmetic number, because the mean of its divisors is an integer number (5566624464).

Almost surely, 2^107101667211 is an apocalyptic number.

107101667211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107101667211 is a deficient number, since it is larger than the sum of its proper divisors (71030315637).

107101667211 is a wasteful number, since it uses less digits than its factorization.

107101667211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241811.

The product of its (nonzero) digits is 3528, while the sum is 33.

Adding to 107101667211 its reverse (112766101701), we get a palindrome (219867768912).

The spelling of 107101667211 in words is "one hundred seven billion, one hundred one million, six hundred sixty-seven thousand, two hundred eleven".