1020200101120 has 72 divisors (see below), whose sum is σ = 2445760414944. Its totient is φ = 407735642112.

The previous prime is 1020200101093. The next prime is 1020200101163. The reversal of 1020200101120 is 211010020201.

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 = 1020200101097 and 1020200101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183627 + ... + 1855093.

It is an arithmetic number, because the mean of its divisors is an integer number (33968894652).

Almost surely, 2^{1020200101120} is an apocalyptic number.

1020200101120 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 1020200101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222880207472).

1020200101120 is an abundant number, since it is smaller than the sum of its proper divisors (1425560313824).

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

1020200101120 is an equidigital number, since it uses as much as digits as its factorization.

1020200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672675 (or 672661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020200101120 its reverse (211010020201), we get a palindrome (1231210121321).

The spelling of 1020200101120 in words is "one trillion, twenty billion, two hundred million, one hundred one thousand, one hundred twenty".