20212220102000 has 160 divisors (see below), whose sum is σ = 51460387068480. Its totient is φ = 7657139174400.

The previous prime is 20212220101973. The next prime is 20212220102003. The reversal of 20212220102000 is 20102221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212220102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133570382 + ... + 133721618.

It is an arithmetic number, because the mean of its divisors is an integer number (321627419178).

Almost surely, 2^{20212220102000} is an apocalyptic number.

20212220102000 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 20212220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25730193534240).

20212220102000 is an abundant number, since it is smaller than the sum of its proper divisors (31248166966480).

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

20212220102000 is a wasteful number, since it uses less digits than its factorization.

20212220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154796 (or 154780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20212220102000 its reverse (20102221202), we get a palindrome (20232322323202).

The spelling of 20212220102000 in words is "twenty trillion, two hundred twelve billion, two hundred twenty million, one hundred two thousand".