101011001220000 has 360 divisors, whose sum is σ = 368648955350676. Its totient is φ = 26208258048000.

The previous prime is 101011001219897. The next prime is 101011001220013. The reversal of 101011001220000 is 22100110101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 15907940802576 + 85103060417424 = 3988476^2 + 9225132^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 923409 + ... + 14243408.

Almost surely, 2^{101011001220000} is an apocalyptic number.

101011001220000 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 101011001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324477675338).

101011001220000 is an abundant number, since it is smaller than the sum of its proper divisors (267637954130676).

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

101011001220000 is a wasteful number, since it uses less digits than its factorization.

101011001220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166890 (or 15166864 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101011001220000 its reverse (22100110101), we get a palindrome (101033101330101).

The spelling of 101011001220000 in words is "one hundred one trillion, eleven billion, one million, two hundred twenty thousand".