10212100120000 has 70 divisors (see below), whose sum is σ = 25322689464248. Its totient is φ = 4084840032000.

The previous prime is 10212100119931. The next prime is 10212100120031. The reversal of 10212100120000 is 2100121201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 9 ways as a sum of consecutive naturals, for example, 127611252 + ... + 127691251.

Almost surely, 2^{10212100120000} is an apocalyptic number.

10212100120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212100120000 is an abundant number, since it is smaller than the sum of its proper divisors (15110589344248).

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

10212100120000 is an frugal number, since it uses more digits than its factorization.

10212100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255302535 (or 255302510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10212100120000 its reverse (2100121201), we get a palindrome (10214200241201).

The spelling of 10212100120000 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred twenty thousand".