21211020201000 has 256 divisors, whose sum is σ = 76381281400320. Its totient is φ = 4800230400000.

The previous prime is 21211020200977. The next prime is 21211020201001. The reversal of 21211020201000 is 10202011212.

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 (21211020201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2879241 + ... + 7121240.

It is an arithmetic number, because the mean of its divisors is an integer number (298364380470).

Almost surely, 2^{21211020201000} is an apocalyptic number.

21211020201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211020201000 is an abundant number, since it is smaller than the sum of its proper divisors (55170261199320).

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

21211020201000 is a wasteful number, since it uses less digits than its factorization.

21211020201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000613 (or 10000599 counting only the distinct ones).

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

Adding to 21211020201000 its reverse (10202011212), we get a palindrome (21221222212212).

The spelling of 21211020201000 in words is "twenty-one trillion, two hundred eleven billion, twenty million, two hundred one thousand".