10001123122212 has 72 divisors (see below), whose sum is σ = 25678499104440. Its totient is φ = 3281621299200.

The previous prime is 10001123122183. The next prime is 10001123122223. The reversal of 10001123122212 is 21222132110001.

It can be written as a sum of positive squares in 4 ways, for example, as 5477734287936 + 4523388834276 = 2340456^2 + 2126826^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7320637 + ... + 8578692.

It is an arithmetic number, because the mean of its divisors is an integer number (356645820895).

Almost surely, 2^{10001123122212} is an apocalyptic number.

10001123122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001123122212 is an abundant number, since it is smaller than the sum of its proper divisors (15677375982228).

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

10001123122212 is a wasteful number, since it uses less digits than its factorization.

10001123122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15899613 (or 15899608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10001123122212 its reverse (21222132110001), we get a palindrome (31223255232213).

The spelling of 10001123122212 in words is "ten trillion, one billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred twelve".