101120010100221 has 16 divisors (see below), whose sum is σ = 154089499779584. Its totient is φ = 57782163411504.

The previous prime is 101120010100189. The next prime is 101120010100259. The reversal of 101120010100221 is 122001010021101.

It is not a de Polignac number, because 101120010100221 - 2⁵ = 101120010100189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101120010100197 and 101120010100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120010100721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27367411 + ... + 30841776.

It is an arithmetic number, because the mean of its divisors is an integer number (9630593736224).

Almost surely, 2^{101120010100221} is an apocalyptic number.

It is an amenable number.

101120010100221 is a deficient number, since it is larger than the sum of its proper divisors (52969489679363).

101120010100221 is an equidigital number, since it uses as much as digits as its factorization.

101120010100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58291920.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120010100221 its reverse (122001010021101), we get a palindrome (223121020121322).

The spelling of 101120010100221 in words is "one hundred one trillion, one hundred twenty billion, ten million, one hundred thousand, two hundred twenty-one".