101200022010000 has 600 divisors, whose sum is σ = 363621683958104. Its totient is φ = 26246799360000.

The previous prime is 101200022009981. The next prime is 101200022010007. The reversal of 101200022010000 is 10220002101.

It can be written as a sum of positive squares in 20 ways, for example, as 91253542339584 + 9946479670416 = 9552672^2 + 3153804^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101200022010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11711605680 + ... + 11711614320.

Almost surely, 2^{101200022010000} is an apocalyptic number.

101200022010000 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 101200022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181810841979052).

101200022010000 is an abundant number, since it is smaller than the sum of its proper divisors (262421661948104).

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

101200022010000 is a wasteful number, since it uses less digits than its factorization.

101200022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12229 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200022010000 its reverse (10220002101), we get a palindrome (101210242012101).

The spelling of 101200022010000 in words is "one hundred one trillion, two hundred billion, twenty-two million, ten thousand".