101521667 has 16 divisors (see below), whose sum is σ = 112572768. Its totient is φ = 90961920.

The previous prime is 101521649. The next prime is 101521669. The reversal of 101521667 is 766125101.

It is a cyclic number.

It is not a de Polignac number, because 101521667 - 2⁸ = 101521411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101521669) 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, 107417 + ... + 108357.

It is an arithmetic number, because the mean of its divisors is an integer number (7035798).

Almost surely, 2^101521667 is an apocalyptic number.

101521667 is a deficient number, since it is larger than the sum of its proper divisors (11051101).

101521667 is a wasteful number, since it uses less digits than its factorization.

101521667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 101521667 is about 10075.7960975796. The cubic root of 101521667 is about 466.5013591938.

Adding to 101521667 its reverse (766125101), we get a palindrome (867646768).

The spelling of 101521667 in words is "one hundred one million, five hundred twenty-one thousand, six hundred sixty-seven".