101210222012101 has 8 divisors (see below), whose sum is σ = 103130264471544. Its totient is φ = 99290565316800.

The previous prime is 101210222012069. The next prime is 101210222012149.

101210222012101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 62558212890625 + 38652009121476 = 7909375^2 + 6217074^2 .

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 101210222012101 - 2⁵ = 101210222012069 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 (101210222112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95911306 + ... + 96960811.

It is an arithmetic number, because the mean of its divisors is an integer number (12891283058943).

Almost surely, 2^{101210222012101} is an apocalyptic number.

It is an amenable number.

101210222012101 is a deficient number, since it is larger than the sum of its proper divisors (1920042459443).

101210222012101 is an equidigital number, since it uses as much as digits as its factorization.

101210222012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192882071.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 101210222012101 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, one hundred one".