100201021020000 has 360 divisors, whose sum is σ = 356473153220184. Its totient is φ = 26689969152000.

The previous prime is 100201021019993. The next prime is 100201021020019. The reversal of 100201021020000 is 20120102001.

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

It is a super-2 number, since 2×100201021020000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 158624784 + ... + 159255216.

Almost surely, 2^{100201021020000} is an apocalyptic number.

100201021020000 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 100201021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178236576610092).

100201021020000 is an abundant number, since it is smaller than the sum of its proper divisors (256272132200184).

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

100201021020000 is an equidigital number, since it uses as much as digits as its factorization.

100201021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631352 (or 631326 counting only the distinct ones).

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

Adding to 100201021020000 its reverse (20120102001), we get a palindrome (100221141122001).

The spelling of 100201021020000 in words is "one hundred trillion, two hundred one billion, twenty-one million, twenty thousand".