20010122121000 has 512 divisors, whose sum is σ = 68846157619200. Its totient is φ = 4798396800000.

The previous prime is 20010122120977. The next prime is 20010122121013. The reversal of 20010122121000 is 12122101002.

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, 4742856891 + ... + 4742861109.

It is an arithmetic number, because the mean of its divisors is an integer number (134465151600).

Almost surely, 2^{20010122121000} is an apocalyptic number.

20010122121000 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 20010122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34423078809600).

20010122121000 is an abundant number, since it is smaller than the sum of its proper divisors (48836035498200).

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

20010122121000 is a wasteful number, since it uses less digits than its factorization.

20010122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5764 counting only the distinct ones).

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

Adding to 20010122121000 its reverse (12122101002), we get a palindrome (20022244222002).

The spelling of 20010122121000 in words is "twenty trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand".