1010201202112 has 56 divisors (see below), whose sum is σ = 2074744501760. Its totient is φ = 487516942080.

The previous prime is 1010201202079. The next prime is 1010201202121. The reversal of 1010201202112 is 2112021020101.

1010201202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010201202092 and 1010201202101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80203 + ... + 1423669.

It is an arithmetic number, because the mean of its divisors is an integer number (37049008960).

Almost surely, 2^{1010201202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010201202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037372250880).

1010201202112 is an abundant number, since it is smaller than the sum of its proper divisors (1064543299648).

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

1010201202112 is a wasteful number, since it uses less digits than its factorization.

1010201202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343889 (or 1343879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010201202112 its reverse (2112021020101), we get a palindrome (3122222222213).

The spelling of 1010201202112 in words is "one trillion, ten billion, two hundred one million, two hundred two thousand, one hundred twelve".