100110001011201 has 24 divisors (see below), whose sum is σ = 144802409425440. Its totient is φ = 66648124325376.

The previous prime is 100110001011101. The next prime is 100110001011211. The reversal of 100110001011201 is 102110100011001.

It is not a de Polignac number, because 100110001011201 - 2⁷ = 100110001011073 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100110001011211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329225505 + ... + 329529441.

It is an arithmetic number, because the mean of its divisors is an integer number (6033433726060).

Almost surely, 2^{100110001011201} is an apocalyptic number.

It is an amenable number.

100110001011201 is a deficient number, since it is larger than the sum of its proper divisors (44692408414239).

100110001011201 is a wasteful number, since it uses less digits than its factorization.

100110001011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354205 (or 354202 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110001011201 its reverse (102110100011001), we get a palindrome (202220101022202).

The spelling of 100110001011201 in words is "one hundred trillion, one hundred ten billion, one million, eleven thousand, two hundred one".