10212001122000 has 160 divisors (see below), whose sum is σ = 33249468754944. Its totient is φ = 2696237760000.

The previous prime is 10212001121947. The next prime is 10212001122019. The reversal of 10212001122000 is 22110021201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7819744 + ... + 9031743.

Almost surely, 2^{10212001122000} is an apocalyptic number.

10212001122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212001122000 is an abundant number, since it is smaller than the sum of its proper divisors (23037467632944).

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

10212001122000 is a wasteful number, since it uses less digits than its factorization.

10212001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851614 (or 16851598 counting only the distinct ones).

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

Adding to 10212001122000 its reverse (22110021201), we get a palindrome (10234111143201).

The spelling of 10212001122000 in words is "ten trillion, two hundred twelve billion, one million, one hundred twenty-two thousand".