100201313100000 has 576 divisors, whose sum is σ = 381023426939904. Its totient is φ = 22580544000000.

The previous prime is 100201313099983. The next prime is 100201313100037. The reversal of 100201313100000 is 1313102001.

It is a super-2 number, since 2×100201313100000² (a number of 29 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 148763980 + ... + 149436020.

It is an arithmetic number, because the mean of its divisors is an integer number (661499005104).

Almost surely, 2^{100201313100000} is an apocalyptic number.

100201313100000 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 100201313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190511713469952).

100201313100000 is an abundant number, since it is smaller than the sum of its proper divisors (280822113839904).

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

100201313100000 is an frugal number, since it uses more digits than its factorization.

100201313100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672157 (or 672129 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100201313100000 its reverse (1313102001), we get a palindrome (100202626202001).

The spelling of 100201313100000 in words is "one hundred trillion, two hundred one billion, three hundred thirteen million, one hundred thousand".