101002100022101 has 8 divisors (see below), whose sum is σ = 102914451656280. Its totient is φ = 99089994744832.

The previous prime is 101002100022091. The next prime is 101002100022107. The reversal of 101002100022101 is 101220001200101.

It can be written as a sum of positive squares in 4 ways, for example, as 40478212338001 + 60523887684100 = 6362249^2 + 7779710^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002100022101 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 (101002100022107) 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, 60761396 + ... + 62401533.

It is an arithmetic number, because the mean of its divisors is an integer number (12864306457035).

Almost surely, 2^{101002100022101} is an apocalyptic number.

It is an amenable number.

101002100022101 is a deficient number, since it is larger than the sum of its proper divisors (1912351634179).

101002100022101 is a wasteful number, since it uses less digits than its factorization.

101002100022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123178455.

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

Adding to 101002100022101 its reverse (101220001200101), we get a palindrome (202222101222202).

The spelling of 101002100022101 in words is "one hundred one trillion, two billion, one hundred million, twenty-two thousand, one hundred one".