21010101002000 has 320 divisors, whose sum is σ = 56096864928000. Its totient is φ = 7547187200000.

The previous prime is 21010101001999. The next prime is 21010101002027. The reversal of 21010101002000 is 20010101012.

It is a super-2 number, since 2×21010101002000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 997667471 + ... + 997688529.

It is an arithmetic number, because the mean of its divisors is an integer number (175302702900).

Almost surely, 2^{21010101002000} is an apocalyptic number.

21010101002000 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 21010101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048432464000).

21010101002000 is an abundant number, since it is smaller than the sum of its proper divisors (35086763926000).

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

21010101002000 is a wasteful number, since it uses less digits than its factorization.

21010101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21643 (or 21627 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21010101002000 its reverse (20010101012), we get a palindrome (21030111103012).

The spelling of 21010101002000 in words is "twenty-one trillion, ten billion, one hundred one million, two thousand".