10212120011000 has 64 divisors (see below), whose sum is σ = 23897899752480. Its totient is φ = 4084584940800.

The previous prime is 10212120010931. The next prime is 10212120011003. The reversal of 10212120011000 is 11002121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212120011003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15592127 + ... + 16233873.

Almost surely, 2^{10212120011000} is an apocalyptic number.

10212120011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212120011000 is an abundant number, since it is smaller than the sum of its proper divisors (13685779741480).

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

10212120011000 is a wasteful number, since it uses less digits than its factorization.

10212120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657681 (or 657667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10212120011000 its reverse (11002121201), we get a palindrome (10223122132201).

The spelling of 10212120011000 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, eleven thousand".