101111002 has 16 divisors (see below), whose sum is σ = 164507112. Its totient is φ = 46420480.

The previous prime is 101110993. The next prime is 101111011. The reversal of 101111002 is 200111101.

It is an interprime number because it is at equal distance from previous prime (101110993) and next prime (101111011).

It can be written as a sum of positive squares in 4 ways, for example, as 89132481 + 11978521 = 9441^2 + 3461^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34873 + ... + 37660.

Almost surely, 2^101111002 is an apocalyptic number.

101111002 is a deficient number, since it is larger than the sum of its proper divisors (63396110).

101111002 is a wasteful number, since it uses less digits than its factorization.

101111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72593.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 101111002 is about 10055.3966605003. The cubic root of 101111002 is about 465.8714947106.

Adding to 101111002 its reverse (200111101), we get a palindrome (301222103).

Subtracting 101111002 from its reverse (200111101), we obtain a palindrome (99000099).

The spelling of 101111002 in words is "one hundred one million, one hundred eleven thousand, two".