101013200132221 has 8 divisors (see below), whose sum is σ = 110835964151640. Its totient is φ = 91483652949312.

The previous prime is 101013200132171. The next prime is 101013200132249. The reversal of 101013200132221 is 122231002310101.

It can be written as a sum of positive squares in 4 ways, for example, as 33033917180196 + 67979282952025 = 5747514^2 + 8244955^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101013200132221 - 2¹¹ = 101013200130173 is a prime.

It is a super-3 number, since 3×101013200132221³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013200132921) 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, 73304208406 + ... + 73304209783.

It is an arithmetic number, because the mean of its divisors is an integer number (13854495518955).

Almost surely, 2^{101013200132221} is an apocalyptic number.

It is an amenable number.

101013200132221 is a deficient number, since it is larger than the sum of its proper divisors (9822764019419).

101013200132221 is a wasteful number, since it uses less digits than its factorization.

101013200132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146608418255.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101013200132221 its reverse (122231002310101), we get a palindrome (223244202442322).

The spelling of 101013200132221 in words is "one hundred one trillion, thirteen billion, two hundred million, one hundred thirty-two thousand, two hundred twenty-one".