10200112220020 has 96 divisors (see below), whose sum is σ = 22608730368000. Its totient is φ = 3854842602624.

The previous prime is 10200112219967. The next prime is 10200112220021. The reversal of 10200112220020 is 2002221100201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200112220021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223727667 + ... + 223773253.

It is an arithmetic number, because the mean of its divisors is an integer number (235507608000).

Almost surely, 2^{10200112220020} is an apocalyptic number.

10200112220020 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 10200112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304365184000).

10200112220020 is an abundant number, since it is smaller than the sum of its proper divisors (12408618147980).

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

10200112220020 is a wasteful number, since it uses less digits than its factorization.

10200112220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47197 (or 47195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200112220020 its reverse (2002221100201), we get a palindrome (12202333320221).

The spelling of 10200112220020 in words is "ten trillion, two hundred billion, one hundred twelve million, two hundred twenty thousand, twenty".