22010122101000 has 512 divisors, whose sum is σ = 79638312499200. Its totient is φ = 5004892800000.

The previous prime is 22010122100987. The next prime is 22010122101029. The reversal of 22010122101000 is 10122101022.

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 127 ways as a sum of consecutive naturals, for example, 63153219 + ... + 63500781.

It is an arithmetic number, because the mean of its divisors is an integer number (155543579100).

Almost surely, 2^{22010122101000} is an apocalyptic number.

22010122101000 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 22010122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39819156249600).

22010122101000 is an abundant number, since it is smaller than the sum of its proper divisors (57628190398200).

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

22010122101000 is a wasteful number, since it uses less digits than its factorization.

22010122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347718 (or 347704 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22010122101000 its reverse (10122101022), we get a palindrome (22020244202022).

It can be divided in two parts, 22010122 and 101000, that added together give a palindrome (22111122).

The spelling of 22010122101000 in words is "twenty-two trillion, ten billion, one hundred twenty-two million, one hundred one thousand".