100011120210001 has 32 divisors (see below), whose sum is σ = 134281748837376. Its totient is φ = 71935489800000.

The previous prime is 100011120209951. The next prime is 100011120210013. The reversal of 100011120210001 is 100012021110001.

It is a cyclic number.

It is not a de Polignac number, because 100011120210001 - 2²⁵ = 100011086655569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011120210001.

It is not an unprimeable number, because it can be changed into a prime (100011120270001) 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, 152677026 + ... + 153330676.

It is an arithmetic number, because the mean of its divisors is an integer number (4196304651168).

Almost surely, 2^{100011120210001} is an apocalyptic number.

100011120210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011120210001 is a deficient number, since it is larger than the sum of its proper divisors (34270628627375).

100011120210001 is a wasteful number, since it uses less digits than its factorization.

100011120210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806533.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011120210001 its reverse (100012021110001), we get a palindrome (200023141320002).

The spelling of 100011120210001 in words is "one hundred trillion, eleven billion, one hundred twenty million, two hundred ten thousand, one".