1010001100120 has 16 divisors (see below), whose sum is σ = 2272502475360. Its totient is φ = 404000440032.

The previous prime is 1010001100117. The next prime is 1010001100127. The reversal of 1010001100120 is 210011000101.

1010001100120 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 2×1010001100120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001100127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12625013712 + ... + 12625013791.

It is an arithmetic number, because the mean of its divisors is an integer number (142031404710).

Almost surely, 2^{1010001100120} is an apocalyptic number.

1010001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001100120 is an abundant number, since it is smaller than the sum of its proper divisors (1262501375240).

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

1010001100120 is a wasteful number, since it uses less digits than its factorization.

1010001100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25250027514 (or 25250027510 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010001100120 its reverse (210011000101), we get a palindrome (1220012100221).

The spelling of 1010001100120 in words is "one trillion, ten billion, one million, one hundred thousand, one hundred twenty".