10200120120120 has 256 divisors, whose sum is σ = 35051321548800. Its totient is φ = 2326161277440.

The previous prime is 10200120120107. The next prime is 10200120120143. The reversal of 10200120120120 is 2102102100201.

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

10200120120120 is a modest number, since divided by 120120120 gives 10200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10200120120096 and 10200120120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604041501 + ... + 1604047859.

It is an arithmetic number, because the mean of its divisors is an integer number (136919224800).

Almost surely, 2^{10200120120120} is an apocalyptic number.

10200120120120 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 10200120120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17525660774400).

10200120120120 is an abundant number, since it is smaller than the sum of its proper divisors (24851201428680).

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

10200120120120 is a wasteful number, since it uses less digits than its factorization.

10200120120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200120120120 its reverse (2102102100201), we get a palindrome (12302222220321).

The spelling of 10200120120120 in words is "ten trillion, two hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".