21001010001000 has 64 divisors (see below), whose sum is σ = 65523151212480. Its totient is φ = 5600269332800.

The previous prime is 21001010000947. The next prime is 21001010001077. The reversal of 21001010001000 is 10001010012.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21001010001000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3500165334 + ... + 3500171333.

It is an arithmetic number, because the mean of its divisors is an integer number (1023799237695).

Almost surely, 2^{21001010001000} is an apocalyptic number.

21001010001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001010001000 is an abundant number, since it is smaller than the sum of its proper divisors (44522141211480).

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

21001010001000 is a wasteful number, since it uses less digits than its factorization.

21001010001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000336691 (or 7000336677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21001010001000 its reverse (10001010012), we get a palindrome (21011011011012).

The spelling of 21001010001000 in words is "twenty-one trillion, one billion, ten million, one thousand".