10010110202001 has 96 divisors (see below), whose sum is σ = 18292258752768. Its totient is φ = 5132985500160.

The previous prime is 10010110201957. The next prime is 10010110202069. The reversal of 10010110202001 is 10020201101001.

It is a happy number.

It is not a de Polignac number, because 10010110202001 - 2⁶ = 10010110201937 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 (10010110200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35647990 + ... + 35927696.

It is an arithmetic number, because the mean of its divisors is an integer number (190544362008).

Almost surely, 2^{10010110202001} is an apocalyptic number.

It is an amenable number.

10010110202001 is a deficient number, since it is larger than the sum of its proper divisors (8282148550767).

10010110202001 is a wasteful number, since it uses less digits than its factorization.

10010110202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280951 (or 280948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010110202001 its reverse (10020201101001), we get a palindrome (20030311303002).

It can be divided in two parts, 10010 and 110202001, that added together give a palindrome (110212011).

The spelling of 10010110202001 in words is "ten trillion, ten billion, one hundred ten million, two hundred two thousand, one".