220122002100000 has 3456 divisors, whose sum is σ = 1004016445834752. Its totient is φ = 41057280000000.

The previous prime is 220122002099971. The next prime is 220122002100023. The reversal of 220122002100000 is 1200221022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 122222099100 + ... + 122222100900.

It is an arithmetic number, because the mean of its divisors is an integer number (290514017892).

Almost surely, 2^{220122002100000} is an apocalyptic number.

220122002100000 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 220122002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502008222917376).

220122002100000 is an abundant number, since it is smaller than the sum of its proper divisors (783894443734752).

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

220122002100000 is a wasteful number, since it uses less digits than its factorization.

220122002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1879 counting only the distinct ones).

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

Adding to 220122002100000 its reverse (1200221022), we get a palindrome (220123202321022).

The spelling of 220122002100000 in words is "two hundred twenty trillion, one hundred twenty-two billion, two million, one hundred thousand".