2202101002112 has 128 divisors (see below), whose sum is σ = 4925673089280. Its totient is φ = 972124876800.

The previous prime is 2202101002111. The next prime is 2202101002177. The reversal of 2202101002112 is 2112001012022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202101002111) 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, 6533468 + ... + 6862244.

It is an arithmetic number, because the mean of its divisors is an integer number (38481821010).

Almost surely, 2^{2202101002112} is an apocalyptic number.

2202101002112 is a gapful number since it is divisible by the number (22) 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 2202101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462836544640).

2202101002112 is an abundant number, since it is smaller than the sum of its proper divisors (2723572087168).

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

2202101002112 is a wasteful number, since it uses less digits than its factorization.

2202101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328940 (or 328928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2202101002112 its reverse (2112001012022), we get a palindrome (4314102014134).

The spelling of 2202101002112 in words is "two trillion, two hundred two billion, one hundred one million, two thousand, one hundred twelve".