10120101111120 has 640 divisors, whose sum is σ = 44600065413120. Its totient is φ = 1826934128640.

The previous prime is 10120101111073. The next prime is 10120101111181. The reversal of 10120101111120 is 2111110102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10120101111096 and 10120101111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2845111 + ... + 5323049.

It is an arithmetic number, because the mean of its divisors is an integer number (69687602208).

Almost surely, 2^{10120101111120} is an apocalyptic number.

10120101111120 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 10120101111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22300032706560).

10120101111120 is an abundant number, since it is smaller than the sum of its proper divisors (34479964302000).

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

10120101111120 is a wasteful number, since it uses less digits than its factorization.

10120101111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478003 (or 2477997 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10120101111120 its reverse (2111110102101), we get a palindrome (12231211213221).

The spelling of 10120101111120 in words is "ten trillion, one hundred twenty billion, one hundred one million, one hundred eleven thousand, one hundred twenty".