10002112112201 has 8 divisors (see below), whose sum is σ = 10911432247104. Its totient is φ = 9092798179920.

The previous prime is 10002112112197. The next prime is 10002112112261. The reversal of 10002112112201 is 10221121120001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002112112201 - 2² = 10002112112197 is a prime.

It is a super-2 number, since 2×10002112112201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002112112261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2219660 + ... + 4993106.

It is an arithmetic number, because the mean of its divisors is an integer number (1363929030888).

Almost surely, 2^{10002112112201} is an apocalyptic number.

10002112112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002112112201 is a deficient number, since it is larger than the sum of its proper divisors (909320134903).

10002112112201 is a wasteful number, since it uses less digits than its factorization.

10002112112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101311.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10002112112201 its reverse (10221121120001), we get a palindrome (20223233232202).

The spelling of 10002112112201 in words is "ten trillion, two billion, one hundred twelve million, one hundred twelve thousand, two hundred one".