1000110121020 has 288 divisors, whose sum is σ = 3188744133120. Its totient is φ = 253238008320.

The previous prime is 1000110120983. The next prime is 1000110121069. The reversal of 1000110121020 is 201210110001.

It is a happy number.

1000110121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000110120993 and 1000110121011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808495842 + ... + 808497078.

It is an arithmetic number, because the mean of its divisors is an integer number (11072028240).

Almost surely, 2^{1000110121020} is an apocalyptic number.

1000110121020 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 1000110121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594372066560).

1000110121020 is an abundant number, since it is smaller than the sum of its proper divisors (2188634012100).

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

1000110121020 is a wasteful number, since it uses less digits than its factorization.

1000110121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2540 counting only the distinct ones).

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

Adding to 1000110121020 its reverse (201210110001), we get a palindrome (1201320231021).

The spelling of 1000110121020 in words is "one trillion, one hundred ten million, one hundred twenty-one thousand, twenty".