10010110201000 has 128 divisors (see below), whose sum is σ = 28829117640960. Its totient is φ = 3168034848000.

The previous prime is 10010110200917. The next prime is 10010110201067. The reversal of 10010110201000 is 10201101001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54909606 + ... + 55091605.

It is an arithmetic number, because the mean of its divisors is an integer number (225227481570).

Almost surely, 2^{10010110201000} is an apocalyptic number.

10010110201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010110201000 is an abundant number, since it is smaller than the sum of its proper divisors (18819007439960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10010110201000 is a wasteful number, since it uses less digits than its factorization.

10010110201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110001252 (or 110001238 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10010110201000 its reverse (10201101001), we get a palindrome (10020311302001).

Subtracting from 10010110201000 its reverse (10201101001), we obtain a palindrome (9999909099999).

The spelling of 10010110201000 in words is "ten trillion, ten billion, one hundred ten million, two hundred one thousand".