100122021000101 has 8 divisors (see below), whose sum is σ = 100283078940408. Its totient is φ = 99961015000000.

The previous prime is 100122021000097. The next prime is 100122021000119. The reversal of 100122021000101 is 101000120221001.

It can be written as a sum of positive squares in 4 ways, for example, as 72226711876900 + 27895309123201 = 8498630^2 + 5281601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122021000101 - 2² = 100122021000097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122021000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9125750 + ... + 16838151.

It is an arithmetic number, because the mean of its divisors is an integer number (12535384867551).

Almost surely, 2^{100122021000101} is an apocalyptic number.

It is an amenable number.

100122021000101 is a deficient number, since it is larger than the sum of its proper divisors (161057940307).

100122021000101 is an equidigital number, since it uses as much as digits as its factorization.

100122021000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25970103.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122021000101 its reverse (101000120221001), we get a palindrome (201122141221102).

The spelling of 100122021000101 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred one", and thus it is an aban number.