21012021012000 has 768 divisors, whose sum is σ = 74328279008256. Its totient is φ = 5170176000000.

The previous prime is 21012021011987. The next prime is 21012021012007. The reversal of 21012021012000 is 21012021012.

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

It is not an unprimeable number, because it can be changed into a prime (21012021012007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2122207050 + ... + 2122216950.

It is an arithmetic number, because the mean of its divisors is an integer number (96781613292).

Almost surely, 2^{21012021012000} is an apocalyptic number.

21012021012000 is a gapful number since it is divisible by the number (20) 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 21012021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37164139504128).

21012021012000 is an abundant number, since it is smaller than the sum of its proper divisors (53316257996256).

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

21012021012000 is a wasteful number, since it uses less digits than its factorization.

21012021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10132 counting only the distinct ones).

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

Adding to 21012021012000 its reverse (21012021012), we get a palindrome (21033033033012).

21012021012000 divided by its reverse (21012021012) gives a cube (1000 = 10³).

It can be divided in two parts, 210120 and 21012000, that multiplied together give a square (4415041440000 = 2101200²).

The spelling of 21012021012000 in words is "twenty-one trillion, twelve billion, twenty-one million, twelve thousand".