101102200011221 has 32 divisors (see below), whose sum is σ = 104221135196640. Its totient is φ = 98033039769600.

The previous prime is 101102200011097. The next prime is 101102200011229. The reversal of 101102200011221 is 122110002201101.

It can be written as a sum of positive squares in 16 ways, for example, as 41439938512996 + 59662261498225 = 6437386^2 + 7724135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102200011221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102200011196 and 101102200011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102200011229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5095610261 + ... + 5095630101.

It is an arithmetic number, because the mean of its divisors is an integer number (3256910474895).

Almost surely, 2^{101102200011221} is an apocalyptic number.

It is an amenable number.

101102200011221 is a deficient number, since it is larger than the sum of its proper divisors (3118935185419).

101102200011221 is a wasteful number, since it uses less digits than its factorization.

101102200011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22217.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102200011221 its reverse (122110002201101), we get a palindrome (223212202212322).

The spelling of 101102200011221 in words is "one hundred one trillion, one hundred two billion, two hundred million, eleven thousand, two hundred twenty-one".