101100101102 has 32 divisors (see below), whose sum is σ = 203614193664. Its totient is φ = 36359676000.

The previous prime is 101100101099. The next prime is 101100101117. The reversal of 101100101102 is 201101001101.

It is a happy number.

It is a super-2 number, since 2×101100101102² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101100101102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25247774 + ... + 25251777.

It is an arithmetic number, because the mean of its divisors is an integer number (6362943552).

Almost surely, 2^101100101102 is an apocalyptic number.

101100101102 is an abundant number, since it is smaller than the sum of its proper divisors (102514092562).

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

101100101102 is a wasteful number, since it uses less digits than its factorization.

101100101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50499584.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100101102 its reverse (201101001101), we get a palindrome (302201102203).

It can be divided in two parts, 101100 and 101102, that added together give a palindrome (202202).

The spelling of 101100101102 in words is "one hundred one billion, one hundred million, one hundred one thousand, one hundred two".