10200211112120 has 128 divisors (see below), whose sum is σ = 24384336163200. Its totient is φ = 3826842894336.

The previous prime is 10200211112107. The next prime is 10200211112183. The reversal of 10200211112120 is 2121111200201.

It is a junction number, because it is equal to n+sod(n) for n = 10200211112095 and 10200211112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534620741 + ... + 534639819.

It is an arithmetic number, because the mean of its divisors is an integer number (190502626275).

Almost surely, 2^{10200211112120} is an apocalyptic number.

10200211112120 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 10200211112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192168081600).

10200211112120 is an abundant number, since it is smaller than the sum of its proper divisors (14184125051080).

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

10200211112120 is a wasteful number, since it uses less digits than its factorization.

10200211112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21777 (or 21773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10200211112120 its reverse (2121111200201), we get a palindrome (12321322312321).

The spelling of 10200211112120 in words is "ten trillion, two hundred billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".