10202112200112 has 160 divisors (see below), whose sum is σ = 31094299361280. Its totient is φ = 2820665652480.

The previous prime is 10202112200099. The next prime is 10202112200153. The reversal of 10202112200112 is 21100221120201.

It is a super-2 number, since 2×10202112200112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202112200091 and 10202112200100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218535589 + ... + 218582267.

It is an arithmetic number, because the mean of its divisors is an integer number (194339371008).

Almost surely, 2^{10202112200112} is an apocalyptic number.

10202112200112 is a gapful number since it is divisible by the number (12) 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 10202112200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547149680640).

10202112200112 is an abundant number, since it is smaller than the sum of its proper divisors (20892187161168).

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

10202112200112 is a wasteful number, since it uses less digits than its factorization.

10202112200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67711 (or 67705 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202112200112 its reverse (21100221120201), we get a palindrome (31302333320313).

The spelling of 10202112200112 in words is "ten trillion, two hundred two billion, one hundred twelve million, two hundred thousand, one hundred twelve".