110111010010001 has 192 divisors, whose sum is σ = 153311120119296. Its totient is φ = 76768653312000.

The previous prime is 110111010009997. The next prime is 110111010010003. The reversal of 110111010010001 is 100010010111011.

It is not a de Polignac number, because 110111010010001 - 2² = 110111010009997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111010010003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13144440125 + ... + 13144448501.

It is an arithmetic number, because the mean of its divisors is an integer number (798495417288).

Almost surely, 2^{110111010010001} is an apocalyptic number.

110111010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111010010001 is a deficient number, since it is larger than the sum of its proper divisors (43200110109295).

110111010010001 is a wasteful number, since it uses less digits than its factorization.

110111010010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110111010010001 its reverse (100010010111011), we get a palindrome (210121020121012).

It can be divided in two parts, 1101110 and 10010001, that added together give a palindrome (11111111).

The spelling of 110111010010001 in words is "one hundred ten trillion, one hundred eleven billion, ten million, ten thousand, one".