101120010101221 has 8 divisors (see below), whose sum is σ = 101322016340888. Its totient is φ = 100918116000000.

The previous prime is 101120010101129. The next prime is 101120010101237. The reversal of 101120010101221 is 122101010021101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12355611653025 + 88764398448196 = 3515055^2 + 9421486^2 .

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 101120010101221 - 2³⁹ = 100570254287333 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 (101120010171221) 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, 26229210 + ... + 29836411.

It is an arithmetic number, because the mean of its divisors is an integer number (12665252042611).

Almost surely, 2^{101120010101221} is an apocalyptic number.

It is an amenable number.

101120010101221 is a deficient number, since it is larger than the sum of its proper divisors (202006239667).

101120010101221 is an equidigital number, since it uses as much as digits as its factorization.

101120010101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56069223.

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

Adding to 101120010101221 its reverse (122101010021101), we get a palindrome (223221020122322).

The spelling of 101120010101221 in words is "one hundred one trillion, one hundred twenty billion, ten million, one hundred one thousand, two hundred twenty-one".