102211407 has 12 divisors (see below), whose sum is σ = 147739800. Its totient is φ = 68094288.

The previous prime is 102211397. The next prime is 102211409. The reversal of 102211407 is 704112201.

It is not a de Polignac number, because 102211407 - 2⁴ = 102211391 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102211407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14628 + ... + 20454.

It is an arithmetic number, because the mean of its divisors is an integer number (12311650).

Almost surely, 2^102211407 is an apocalyptic number.

102211407 is a deficient number, since it is larger than the sum of its proper divisors (45528393).

102211407 is a wasteful number, since it uses less digits than its factorization.

102211407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102211407 is about 10109.9657269449. The cubic root of 102211407 is about 467.5554484453. Note that the first 3 decimals are identical.

Adding to 102211407 its reverse (704112201), we get a palindrome (806323608).

It can be divided in two parts, 10221 and 1407, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 102211407 in words is "one hundred two million, two hundred eleven thousand, four hundred seven".