101102012106 has 32 divisors (see below), whose sum is σ = 203618016000. Its totient is φ = 33465132480.

The previous prime is 101102012101. The next prime is 101102012107. The reversal of 101102012106 is 601210201101.

It is a happy number.

101102012106 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101102012101) 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 15 ways as a sum of consecutive naturals, for example, 3661480 + ... + 3688988.

It is an arithmetic number, because the mean of its divisors is an integer number (6363063000).

Almost surely, 2^101102012106 is an apocalyptic number.

101102012106 is an abundant number, since it is smaller than the sum of its proper divisors (102516003894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102012106 is a wasteful number, since it uses less digits than its factorization.

101102012106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31774.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101102012106 its reverse (601210201101), we get a palindrome (702312213207).

The spelling of 101102012106 in words is "one hundred one billion, one hundred two million, twelve thousand, one hundred six".