1020120101200 has 120 divisors (see below), whose sum is σ = 2468542503168. Its totient is φ = 405106506240.

The previous prime is 1020120101197. The next prime is 1020120101233. The reversal of 1020120101200 is 21010210201.

1020120101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56971449 + ... + 56989351.

Almost surely, 2^{1020120101200} is an apocalyptic number.

1020120101200 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 1020120101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234271251584).

1020120101200 is an abundant number, since it is smaller than the sum of its proper divisors (1448422401968).

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

1020120101200 is a wasteful number, since it uses less digits than its factorization.

1020120101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18941 (or 18930 counting only the distinct ones).

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

Adding to 1020120101200 its reverse (21010210201), we get a palindrome (1041130311401).

The spelling of 1020120101200 in words is "one trillion, twenty billion, one hundred twenty million, one hundred one thousand, two hundred".