101022101220101 has 8 divisors (see below), whose sum is σ = 101276974729944. Its totient is φ = 100767229770240.

The previous prime is 101022101220043. The next prime is 101022101220107.

101022101220101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 72480874144900 + 28541227075201 = 8513570^2 + 5342399^2 .

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 101022101220101 - 2³⁴ = 101004921350917 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 (101022101220107) 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, 163284221 + ... + 163901741.

It is an arithmetic number, because the mean of its divisors is an integer number (12659621841243).

Almost surely, 2^{101022101220101} is an apocalyptic number.

It is an amenable number.

101022101220101 is a deficient number, since it is larger than the sum of its proper divisors (254873509843).

101022101220101 is an equidigital number, since it uses as much as digits as its factorization.

101022101220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029991.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10102210 and 1220101, that added together give a palindrome (11322311).

The spelling of 101022101220101 in words is "one hundred one trillion, twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred one".