101201101022101 has 4 divisors (see below), whose sum is σ = 101201151494412. Its totient is φ = 101201050549792.

The previous prime is 101201101022089. The next prime is 101201101022107. The reversal of 101201101022101 is 101220101102101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8336097072900 + 92865003949201 = 2887230^2 + 9636649^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201101022101 - 2⁵ = 101201101022069 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 (101201101022107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22098496 + ... + 26282041.

It is an arithmetic number, because the mean of its divisors is an integer number (25300287873603).

Almost surely, 2^{101201101022101} is an apocalyptic number.

It is an amenable number.

101201101022101 is a deficient number, since it is larger than the sum of its proper divisors (50472311).

101201101022101 is an equidigital number, since it uses as much as digits as its factorization.

101201101022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50472310.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101201101022101 its reverse (101220101102101), we get a palindrome (202421202124202).

The spelling of 101201101022101 in words is "one hundred one trillion, two hundred one billion, one hundred one million, twenty-two thousand, one hundred one".