100201100100000 has 1152 divisors, whose sum is σ = 344205937410048. Its totient is φ = 25502400000000.

The previous prime is 100201100099959. The next prime is 100201100100011. The reversal of 100201100100000 is 1001102001.

It is a super-2 number, since 2×100201100100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 101111099505 + ... + 101111100495.

It is an arithmetic number, because the mean of its divisors is an integer number (298789876224).

Almost surely, 2^{100201100100000} is an apocalyptic number.

100201100100000 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 100201100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172102968705024).

100201100100000 is an abundant number, since it is smaller than the sum of its proper divisors (244004837310048).

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

100201100100000 is an equidigital number, since it uses as much as digits as its factorization.

100201100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100201100100000 its reverse (1001102001), we get a palindrome (100202101202001).

The spelling of 100201100100000 in words is "one hundred trillion, two hundred one billion, one hundred million, one hundred thousand".