100021102000101 has 8 divisors (see below), whose sum is σ = 148179410370560. Its totient is φ = 66680734666716.

The previous prime is 100021102000097. The next prime is 100021102000133. The reversal of 100021102000101 is 101000201120001.

It is a happy number.

It is not a de Polignac number, because 100021102000101 - 2² = 100021102000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021102000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1852242629605 + ... + 1852242629658.

It is an arithmetic number, because the mean of its divisors is an integer number (18522426296320).

Almost surely, 2^{100021102000101} is an apocalyptic number.

It is an amenable number.

100021102000101 is a deficient number, since it is larger than the sum of its proper divisors (48158308370459).

100021102000101 is an equidigital number, since it uses as much as digits as its factorization.

100021102000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704485259272 (or 3704485259266 counting only the distinct ones).

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

Adding to 100021102000101 its reverse (101000201120001), we get a palindrome (201021303120102).

The spelling of 100021102000101 in words is "one hundred trillion, twenty-one billion, one hundred two million, one hundred one", and thus it is an aban number.