10112201100 has 54 divisors (see below), whose sum is σ = 31696135380. Its totient is φ = 2696586720.

The previous prime is 10112201003. The next prime is 10112201111. The reversal of 10112201100 is 110221101.

It is a happy number.

It is a super-2 number, since 2×10112201100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 5616990 + ... + 5618789.

It is an arithmetic number, because the mean of its divisors is an integer number (586965470).

Almost surely, 2^10112201100 is an apocalyptic number.

10112201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112201100 is an abundant number, since it is smaller than the sum of its proper divisors (21583934280).

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

10112201100 is a wasteful number, since it uses less digits than its factorization.

10112201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235799 (or 11235789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112201100 its reverse (110221101), we get a palindrome (10222422201).

The spelling of 10112201100 in words is "ten billion, one hundred twelve million, two hundred one thousand, one hundred".