100022010220020 has 192 divisors, whose sum is σ = 322512708833280. Its totient is φ = 22688142446592.

The previous prime is 100022010220009. The next prime is 100022010220061. The reversal of 100022010220020 is 20022010220001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100022010219978 and 100022010220005.

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, 44988121 + ... + 47159039.

It is an arithmetic number, because the mean of its divisors is an integer number (1679753691840).

Almost surely, 2^{100022010220020} is an apocalyptic number.

100022010220020 is a gapful number since it is divisible by the number (10) 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 100022010220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161256354416640).

100022010220020 is an abundant number, since it is smaller than the sum of its proper divisors (222490698613260).

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

100022010220020 is a wasteful number, since it uses less digits than its factorization.

100022010220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171774 (or 2171772 counting only the distinct ones).

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

Adding to 100022010220020 its reverse (20022010220001), we get a palindrome (120044020440021).

The spelling of 100022010220020 in words is "one hundred trillion, twenty-two billion, ten million, two hundred twenty thousand, twenty".