100100201170720 has 96 divisors (see below), whose sum is σ = 239877482939136. Its totient is φ = 39466265932800.

The previous prime is 100100201170693. The next prime is 100100201170769. The reversal of 100100201170720 is 27071102001001.

It is a super-2 number, since 2×100100201170720² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100201170691 and 100100201170700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44419990 + ... + 46619050.

It is an arithmetic number, because the mean of its divisors is an integer number (2498723780616).

Almost surely, 2^{100100201170720} is an apocalyptic number.

100100201170720 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 100100201170720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119938741469568).

100100201170720 is an abundant number, since it is smaller than the sum of its proper divisors (139777281768416).

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

100100201170720 is a wasteful number, since it uses less digits than its factorization.

100100201170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203154 (or 2203146 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

Adding to 100100201170720 its reverse (27071102001001), we get a palindrome (127171303171721).

The spelling of 100100201170720 in words is "one hundred trillion, one hundred billion, two hundred one million, one hundred seventy thousand, seven hundred twenty".