100120110101001 has 16 divisors (see below), whose sum is σ = 148359639563520. Its totient is φ = 66731642331120.

The previous prime is 100120110100987. The next prime is 100120110101071. The reversal of 100120110101001 is 100101011021001.

It is not a de Polignac number, because 100120110101001 - 2²¹ = 100120108003849 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 (100120110101071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419259985 + ... + 419498718.

It is an arithmetic number, because the mean of its divisors is an integer number (9272477472720).

Almost surely, 2^{100120110101001} is an apocalyptic number.

It is an amenable number.

100120110101001 is a deficient number, since it is larger than the sum of its proper divisors (48239529462519).

100120110101001 is an equidigital number, since it uses as much as digits as its factorization.

100120110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838763133 (or 838763127 counting only the distinct ones).

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

Adding to 100120110101001 its reverse (100101011021001), we get a palindrome (200221121122002).

The spelling of 100120110101001 in words is "one hundred trillion, one hundred twenty billion, one hundred ten million, one hundred one thousand, one".