10121120100 has 864 divisors, whose sum is σ = 42463948800. Its totient is φ = 2032335360.

The previous prime is 10121120069. The next prime is 10121120161. The reversal of 10121120100 is 102112101.

It is a happy number.

It is a super-3 number, since 3×10121120100³ (a number of 31 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50859801 + ... + 50859999.

Almost surely, 2^10121120100 is an apocalyptic number.

10121120100 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 10121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21231974400).

10121120100 is an abundant number, since it is smaller than the sum of its proper divisors (32342828700).

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

10121120100 is a wasteful number, since it uses less digits than its factorization.

10121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

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

Adding to 10121120100 its reverse (102112101), we get a palindrome (10223232201).

The spelling of 10121120100 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".