10001201210112 has 576 divisors, whose sum is σ = 33045705520128. Its totient is φ = 2619801600000.

The previous prime is 10001201210111. The next prime is 10001201210113. The reversal of 10001201210112 is 21101210210001.

It is an interprime number because it is at equal distance from previous prime (10001201210111) and next prime (10001201210113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10001201210111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3076344487 + ... + 3076347737.

It is an arithmetic number, because the mean of its divisors is an integer number (57371016528).

Almost surely, 2^{10001201210112} is an apocalyptic number.

10001201210112 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 10001201210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522852760064).

10001201210112 is an abundant number, since it is smaller than the sum of its proper divisors (23044504310016).

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

10001201210112 is a wasteful number, since it uses less digits than its factorization.

10001201210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001201210112 its reverse (21101210210001), we get a palindrome (31102411420113).

The spelling of 10001201210112 in words is "ten trillion, one billion, two hundred one million, two hundred ten thousand, one hundred twelve".