110010102101001 has 32 divisors (see below), whose sum is σ = 165429916329600. Its totient is φ = 72236931624000.

The previous prime is 110010102100979. The next prime is 110010102101017. The reversal of 110010102101001 is 100101201010011.

It is not a de Polignac number, because 110010102101001 - 2¹³ = 110010102092809 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 (110010102100001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11801515 + ... + 18955103.

It is an arithmetic number, because the mean of its divisors is an integer number (5169684885300).

Almost surely, 2^{110010102101001} is an apocalyptic number.

It is an amenable number.

110010102101001 is a deficient number, since it is larger than the sum of its proper divisors (55419814228599).

110010102101001 is an equidigital number, since it uses as much as digits as its factorization.

110010102101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162166 (or 7162160 counting only the distinct ones).

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

Adding to 110010102101001 its reverse (100101201010011), we get a palindrome (210111303111012).

The spelling of 110010102101001 in words is "one hundred ten trillion, ten billion, one hundred two million, one hundred one thousand, one".