20010220022000 has 640 divisors, whose sum is σ = 56568394891008. Its totient is φ = 6778404864000.

The previous prime is 20010220021973. The next prime is 20010220022027. The reversal of 20010220022000 is 22002201002.

It is an interprime number because it is at equal distance from previous prime (20010220021973) and next prime (20010220022027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15147781340 + ... + 15147782660.

Almost surely, 2^{20010220022000} is an apocalyptic number.

20010220022000 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 20010220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28284197445504).

20010220022000 is an abundant number, since it is smaller than the sum of its proper divisors (36558174869008).

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

20010220022000 is a wasteful number, since it uses less digits than its factorization.

20010220022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20010220022000 its reverse (22002201002), we get a palindrome (20032222223002).

The spelling of 20010220022000 in words is "twenty trillion, ten billion, two hundred twenty million, twenty-two thousand".