101021012021101 has 8 divisors (see below), whose sum is σ = 101027607965208. Its totient is φ = 101014416360000.

The previous prime is 101021012021071. The next prime is 101021012021179. The reversal of 101021012021101 is 101120210120101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6129040976100 + 94891971045001 = 2475690^2 + 9741251^2 .

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 101021012021101 - 2³¹ = 101018864537453 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 (101021012021191) 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, 1867239951 + ... + 1867294051.

It is an arithmetic number, because the mean of its divisors is an integer number (12628450995651).

Almost surely, 2^{101021012021101} is an apocalyptic number.

It is an amenable number.

101021012021101 is a deficient number, since it is larger than the sum of its proper divisors (6595944107).

101021012021101 is an equidigital number, since it uses as much as digits as its factorization.

101021012021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141503.

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

Adding to 101021012021101 its reverse (101120210120101), we get a palindrome (202141222141202).

The spelling of 101021012021101 in words is "one hundred one trillion, twenty-one billion, twelve million, twenty-one thousand, one hundred one".