21201021201000 has 512 divisors, whose sum is σ = 68973738762240. Its totient is φ = 5417280000000.

The previous prime is 21201021200987. The next prime is 21201021201067. The reversal of 21201021201000 is 10212010212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2141296050 + ... + 2141305950.

It is an arithmetic number, because the mean of its divisors is an integer number (134714333520).

Almost surely, 2^{21201021201000} is an apocalyptic number.

21201021201000 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 21201021201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34486869381120).

21201021201000 is an abundant number, since it is smaller than the sum of its proper divisors (47772717561240).

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

21201021201000 is a wasteful number, since it uses less digits than its factorization.

21201021201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254 (or 10240 counting only the distinct ones).

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

Adding to 21201021201000 its reverse (10212010212), we get a palindrome (21211233211212).

It can be divided in two parts, 212010 and 21201000, that multiplied together give a square (4494824010000 = 2120100²).

The spelling of 21201021201000 in words is "twenty-one trillion, two hundred one billion, twenty-one million, two hundred one thousand".