10202201120112 has 80 divisors (see below), whose sum is σ = 27599456878848. Its totient is φ = 3241299550720.

The previous prime is 10202201120107. The next prime is 10202201120117. The reversal of 10202201120112 is 21102110220201.

It is an interprime number because it is at equal distance from previous prime (10202201120107) and next prime (10202201120117).

It is a junction number, because it is equal to n+sod(n) for n = 10202201120091 and 10202201120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202201120117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16133058 + ... + 16753505.

Almost surely, 2^{10202201120112} is an apocalyptic number.

10202201120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202201120112 is an abundant number, since it is smaller than the sum of its proper divisors (17397255758736).

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

10202201120112 is a wasteful number, since it uses less digits than its factorization.

10202201120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32886878 (or 32886872 counting only the distinct ones).

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

Adding to 10202201120112 its reverse (21102110220201), we get a palindrome (31304311340313).

The spelling of 10202201120112 in words is "ten trillion, two hundred two billion, two hundred one million, one hundred twenty thousand, one hundred twelve".