1010200111120 has 80 divisors (see below), whose sum is σ = 2405676062592. Its totient is φ = 394298634240.

The previous prime is 1010200111117. The next prime is 1010200111121. The reversal of 1010200111120 is 211110020101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010200111097 and 1010200111106.

It is not an unprimeable number, because it can be changed into a prime (1010200111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3404224 + ... + 3689056.

Almost surely, 2^{1010200111120} is an apocalyptic number.

1010200111120 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 1010200111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202838031296).

1010200111120 is an abundant number, since it is smaller than the sum of its proper divisors (1395475951472).

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

1010200111120 is a wasteful number, since it uses less digits than its factorization.

1010200111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285920 (or 285914 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010200111120 its reverse (211110020101), we get a palindrome (1221310131221).

The spelling of 1010200111120 in words is "one trillion, ten billion, two hundred million, one hundred eleven thousand, one hundred twenty".