10011121122100 has 144 divisors (see below), whose sum is σ = 25074938656768. Its totient is φ = 3398204223360.

The previous prime is 10011121122097. The next prime is 10011121122151. The reversal of 10011121122100 is 122112111001.

It is a happy number.

10011121122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10011121122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329265499 + ... + 329295901.

Almost surely, 2^{10011121122100} is an apocalyptic number.

10011121122100 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 10011121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12537469328384).

10011121122100 is an abundant number, since it is smaller than the sum of its proper divisors (15063817534668).

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

10011121122100 is a wasteful number, since it uses less digits than its factorization.

10011121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35094 (or 35087 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011121122100 its reverse (122112111001), we get a palindrome (10133233233101).

It can be divided in two parts, 1001112 and 1122100, that added together give a palindrome (2123212).

The spelling of 10011121122100 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".