10002112220001 has 64 divisors (see below), whose sum is σ = 15427053248256. Its totient is φ = 5696892518400.

The previous prime is 10002112219973. The next prime is 10002112220039. The reversal of 10002112220001 is 10002221120001.

It is not a de Polignac number, because 10002112220001 - 2⁶ = 10002112219937 is a prime.

It is a super-2 number, since 2×10002112220001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002112220101) 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, 1436875161 + ... + 1436882121.

It is an arithmetic number, because the mean of its divisors is an integer number (241047707004).

Almost surely, 2^{10002112220001} is an apocalyptic number.

10002112220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002112220001 is a deficient number, since it is larger than the sum of its proper divisors (5424941028255).

10002112220001 is a wasteful number, since it uses less digits than its factorization.

10002112220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002112220001 its reverse (10002221120001), we get a palindrome (20004333340002).

The spelling of 10002112220001 in words is "ten trillion, two billion, one hundred twelve million, two hundred twenty thousand, one".