100110210011201 has 8 divisors (see below), whose sum is σ = 107976096470760. Its totient is φ = 92267909419392.

The previous prime is 100110210011183. The next prime is 100110210011213. The reversal of 100110210011201 is 102110012011001.

It can be written as a sum of positive squares in 4 ways, for example, as 2859075174400 + 97251134836801 = 1690880^2 + 9861599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110210011201 - 2⁶ = 100110210011137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110210011701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5896458116 + ... + 5896475093.

It is an arithmetic number, because the mean of its divisors is an integer number (13497012058845).

Almost surely, 2^{100110210011201} is an apocalyptic number.

It is an amenable number.

100110210011201 is a deficient number, since it is larger than the sum of its proper divisors (7865886459559).

100110210011201 is a wasteful number, since it uses less digits than its factorization.

100110210011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11792933875.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110210011201 its reverse (102110012011001), we get a palindrome (202220222022202).

The spelling of 100110210011201 in words is "one hundred trillion, one hundred ten billion, two hundred ten million, eleven thousand, two hundred one".