20101221002000 has 40 divisors (see below), whose sum is σ = 48604752387672. Its totient is φ = 8040488400000.

The previous prime is 20101221001933. The next prime is 20101221002003. The reversal of 20101221002000 is 20012210102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4724658682384 + 15376562319616 = 2173628^2 + 3921296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20101221002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5025303251 + ... + 5025307250.

Almost surely, 2^{20101221002000} is an apocalyptic number.

20101221002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221002000 is an abundant number, since it is smaller than the sum of its proper divisors (28503531385672).

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

20101221002000 is a wasteful number, since it uses less digits than its factorization.

20101221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050610524 (or 10050610508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20101221002000 its reverse (20012210102), we get a palindrome (20121233212102).

The spelling of 20101221002000 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, two thousand".