10001120100120 has 384 divisors, whose sum is σ = 35699715455040. Its totient is φ = 2509420953600.

The previous prime is 10001120100019. The next prime is 10001120100161. The reversal of 10001120100120 is 2100102110001.

It is a happy number.

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

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, 1010107170 + ... + 1010117070.

Almost surely, 2^{10001120100120} is an apocalyptic number.

10001120100120 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 10001120100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849857727520).

10001120100120 is an abundant number, since it is smaller than the sum of its proper divisors (25698595354920).

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

10001120100120 is a wasteful number, since it uses less digits than its factorization.

10001120100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16057 (or 16041 counting only the distinct ones).

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

Adding to 10001120100120 its reverse (2100102110001), we get a palindrome (12101222210121).

The spelling of 10001120100120 in words is "ten trillion, one billion, one hundred twenty million, one hundred thousand, one hundred twenty".