101002112111221 has 4 divisors (see below), whose sum is σ = 101044390101100. Its totient is φ = 100959834121344.

The previous prime is 101002112111213. The next prime is 101002112111237. The reversal of 101002112111221 is 122111211200101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8978592744900 + 92023519366321 = 2996430^2 + 9592889^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002112111221 - 2³ = 101002112111213 is a prime.

It is a super-2 number, since 2×101002112111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002112111195 and 101002112111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002112111261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21138991356 + ... + 21138996133.

It is an arithmetic number, because the mean of its divisors is an integer number (25261097525275).

Almost surely, 2^{101002112111221} is an apocalyptic number.

It is an amenable number.

101002112111221 is a deficient number, since it is larger than the sum of its proper divisors (42277989879).

101002112111221 is an equidigital number, since it uses as much as digits as its factorization.

101002112111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42277989878.

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

Adding to 101002112111221 its reverse (122111211200101), we get a palindrome (223113323311322).

The spelling of 101002112111221 in words is "one hundred one trillion, two billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty-one".