90022011200010 has 384 divisors, whose sum is σ = 258806848944384. Its totient is φ = 21613457940480.

The previous prime is 90022011200003. The next prime is 90022011200087. The reversal of 90022011200010 is 1000211022009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11419761529 + ... + 11419769411.

It is an arithmetic number, because the mean of its divisors is an integer number (673976169126).

Almost surely, 2^{90022011200010} is an apocalyptic number.

90022011200010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90022011200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129403424472192).

90022011200010 is an abundant number, since it is smaller than the sum of its proper divisors (168784837744374).

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

90022011200010 is a wasteful number, since it uses less digits than its factorization.

90022011200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 90022011200010 its reverse (1000211022009), we get a palindrome (91022222222019).

The spelling of 90022011200010 in words is "ninety trillion, twenty-two billion, eleven million, two hundred thousand, ten".