20221100103000 has 256 divisors, whose sum is σ = 64903348224000. Its totient is φ = 5237779622400.

The previous prime is 20221100102993. The next prime is 20221100103023. The reversal of 20221100103000 is 30100112202.

It is a super-2 number, since 2×20221100103000² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 66336937 + ... + 66641063.

It is an arithmetic number, because the mean of its divisors is an integer number (253528704000).

Almost surely, 2^{20221100103000} is an apocalyptic number.

20221100103000 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 20221100103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32451674112000).

20221100103000 is an abundant number, since it is smaller than the sum of its proper divisors (44682248121000).

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

20221100103000 is a wasteful number, since it uses less digits than its factorization.

20221100103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304787 (or 304773 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20221100103000 its reverse (30100112202), we get a palindrome (20251200215202).

The spelling of 20221100103000 in words is "twenty trillion, two hundred twenty-one billion, one hundred million, one hundred three thousand".