10001121112212 has 24 divisors (see below), whose sum is σ = 23339166885216. Its totient is φ = 3333247376928.

The previous prime is 10001121112193. The next prime is 10001121112219. The reversal of 10001121112212 is 21221112110001.

It is a happy number.

It is a super-2 number, since 2×10001121112212² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001121112191 and 10001121112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001121112219) 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, 57366898 + ... + 57540969.

It is an arithmetic number, because the mean of its divisors is an integer number (972465286884).

Almost surely, 2^{10001121112212} is an apocalyptic number.

10001121112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001121112212 is an abundant number, since it is smaller than the sum of its proper divisors (13338045773004).

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

10001121112212 is a wasteful number, since it uses less digits than its factorization.

10001121112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114915127 (or 114915125 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10001121112212 its reverse (21221112110001), we get a palindrome (31222233222213).

The spelling of 10001121112212 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twelve".