220102002120000 has 2240 divisors, whose sum is σ = 1003490641004544. Its totient is φ = 41075527680000.

The previous prime is 220102002119977. The next prime is 220102002120019. The reversal of 220102002120000 is 21200201022.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4444415239 + ... + 4444464761.

Almost surely, 2^{220102002120000} is an apocalyptic number.

220102002120000 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 220102002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501745320502272).

220102002120000 is an abundant number, since it is smaller than the sum of its proper divisors (783388638884544).

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

220102002120000 is a wasteful number, since it uses less digits than its factorization.

220102002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49626 (or 49601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220102002120000 its reverse (21200201022), we get a palindrome (220123202321022).

The spelling of 220102002120000 in words is "two hundred twenty trillion, one hundred two billion, two million, one hundred twenty thousand".