101100012100 has 72 divisors (see below), whose sum is σ = 229525309440. Its totient is φ = 38580410880.

The previous prime is 101100012029. The next prime is 101100012121. The reversal of 101100012100 is 1210001101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823516 + ... + 938284.

It is an arithmetic number, because the mean of its divisors is an integer number (3187851520).

Almost surely, 2^101100012100 is an apocalyptic number.

101100012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114762654720).

101100012100 is an abundant number, since it is smaller than the sum of its proper divisors (128425297340).

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

101100012100 is a wasteful number, since it uses less digits than its factorization.

101100012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115189 (or 115182 counting only the distinct ones).

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

Adding to 101100012100 its reverse (1210001101), we get a palindrome (102310013201).

The spelling of 101100012100 in words is "one hundred one billion, one hundred million, twelve thousand, one hundred".