10212011120000 has 160 divisors (see below), whose sum is σ = 25528580114400. Its totient is φ = 4067705600000.

The previous prime is 10212011119967. The next prime is 10212011120011. The reversal of 10212011120000 is 2111021201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10212011120000² (a number of 27 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 18852950 + ... + 19387050.

It is an arithmetic number, because the mean of its divisors is an integer number (159553625715).

Almost surely, 2^{10212011120000} is an apocalyptic number.

10212011120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764290057200).

10212011120000 is an abundant number, since it is smaller than the sum of its proper divisors (15316568994400).

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

10212011120000 is an frugal number, since it uses more digits than its factorization.

10212011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534374 (or 534347 counting only the distinct ones).

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

Adding to 10212011120000 its reverse (2111021201), we get a palindrome (10214122141201).

The spelling of 10212011120000 in words is "ten trillion, two hundred twelve billion, eleven million, one hundred twenty thousand".