20212022101000 has 128 divisors (see below), whose sum is σ = 47634668789760. Its totient is φ = 8026996320000.

The previous prime is 20212022100997. The next prime is 20212022101009. The reversal of 20212022101000 is 10122021202.

It is a happy number.

It is a super-2 number, since 2×20212022101000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20212022101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291848377 + ... + 291917623.

It is an arithmetic number, because the mean of its divisors is an integer number (372145849920).

Almost surely, 2^{20212022101000} is an apocalyptic number.

20212022101000 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 20212022101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23817334394880).

20212022101000 is an abundant number, since it is smaller than the sum of its proper divisors (27422646688760).

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

20212022101000 is a wasteful number, since it uses less digits than its factorization.

20212022101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71352 (or 71338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20212022101000 its reverse (10122021202), we get a palindrome (20222144122202).

The spelling of 20212022101000 in words is "twenty trillion, two hundred twelve billion, twenty-two million, one hundred one thousand".