101233007 has 16 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 93492000.

The previous prime is 101232979. The next prime is 101233019. The reversal of 101233007 is 700332101.

It is a cyclic number.

It is not a de Polignac number, because 101233007 - 2⁸ = 101232751 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 (101233037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135878 + ... + 136620.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2^101233007 is an apocalyptic number.

101233007 is a deficient number, since it is larger than the sum of its proper divisors (8045713).

101233007 is a wasteful number, since it uses less digits than its factorization.

101233007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 101233007 is about 10061.4614743585. The cubic root of 101233007 is about 466.0587997666.

Adding to 101233007 its reverse (700332101), we get a palindrome (801565108).

The spelling of 101233007 in words is "one hundred one million, two hundred thirty-three thousand, seven".