10111122100 has 36 divisors (see below), whose sum is σ = 22300839148. Its totient is φ = 3978144000.

The previous prime is 10111122097. The next prime is 10111122103. The reversal of 10111122100 is 122111101.

It is an interprime number because it is at equal distance from previous prime (10111122097) and next prime (10111122103).

It can be written as a sum of positive squares in 6 ways, for example, as 3201522724 + 6909599376 = 56582^2 + 83124^2 .

It is a super-2 number, since 2×10111122100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 822681 + ... + 834880.

Almost surely, 2^10111122100 is an apocalyptic number.

10111122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111122100 is an abundant number, since it is smaller than the sum of its proper divisors (12189717048).

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

10111122100 is a wasteful number, since it uses less digits than its factorization.

10111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657636 (or 1657629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111122100 its reverse (122111101), we get a palindrome (10233233201).

The spelling of 10111122100 in words is "ten billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".