210110100110001 has 192 divisors, whose sum is σ = 402405274951680. Its totient is φ = 102533989501440.

The previous prime is 210110100109933. The next prime is 210110100110003. The reversal of 210110100110001 is 100011001011012.

210110100110001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210110100110001 - 2⁷ = 210110100109873 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 (210110100110003) 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, 4146529896 + ... + 4146580566.

It is an arithmetic number, because the mean of its divisors is an integer number (2095860807040).

Almost surely, 2^{210110100110001} is an apocalyptic number.

210110100110001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210110100110001 is a deficient number, since it is larger than the sum of its proper divisors (192295174841679).

210110100110001 is a wasteful number, since it uses less digits than its factorization.

210110100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56956 (or 56953 counting only the distinct ones).

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

Adding to 210110100110001 its reverse (100011001011012), we get a palindrome (310121101121013).

The spelling of 210110100110001 in words is "two hundred ten trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one".