20001102210000 has 1200 divisors, whose sum is σ = 76421111166400. Its totient is φ = 4864167936000.

The previous prime is 20001102209999. The next prime is 20001102210029. The reversal of 20001102210000 is 1220110002.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×20001102210000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6137188371 + ... + 6137191629.

Almost surely, 2^{20001102210000} is an apocalyptic number.

20001102210000 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 20001102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38210555583200).

20001102210000 is an abundant number, since it is smaller than the sum of its proper divisors (56420008956400).

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

20001102210000 is a wasteful number, since it uses less digits than its factorization.

20001102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001102210000 its reverse (1220110002), we get a palindrome (20002322320002).

The spelling of 20001102210000 in words is "twenty trillion, one billion, one hundred two million, two hundred ten thousand".