101002111112221 has 16 divisors (see below), whose sum is σ = 111497314451328. Its totient is φ = 90729674668800.

The previous prime is 101002111112219. The next prime is 101002111112239. The reversal of 101002111112221 is 122211111200101.

It is a cyclic number.

It is not a de Polignac number, because 101002111112221 - 2¹ = 101002111112219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002111112195 and 101002111112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002111112621) 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, 97015840 + ... + 98051401.

It is an arithmetic number, because the mean of its divisors is an integer number (6968582153208).

Almost surely, 2^{101002111112221} is an apocalyptic number.

101002111112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002111112221 is a deficient number, since it is larger than the sum of its proper divisors (10495203339107).

101002111112221 is a wasteful number, since it uses less digits than its factorization.

101002111112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195067812.

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

Adding to 101002111112221 its reverse (122211111200101), we get a palindrome (223213222312322).

The spelling of 101002111112221 in words is "one hundred one trillion, two billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".