10210111101100 has 72 divisors (see below), whose sum is σ = 22222709530560. Its totient is φ = 4071740013120.

The previous prime is 10210111101059. The next prime is 10210111101137. The reversal of 10210111101100 is 110111101201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 361802791 + ... + 361831009.

It is an arithmetic number, because the mean of its divisors is an integer number (308648743480).

Almost surely, 2^{10210111101100} is an apocalyptic number.

10210111101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210111101100 is an abundant number, since it is smaller than the sum of its proper divisors (12012598429460).

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

10210111101100 is a wasteful number, since it uses less digits than its factorization.

10210111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39007 (or 39000 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10210111101100 its reverse (110111101201), we get a palindrome (10320222202301).

The spelling of 10210111101100 in words is "ten trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred".