131221022101 has 8 divisors (see below), whose sum is σ = 149627591064. Its totient is φ = 114001973760.

The previous prime is 131221022083. The next prime is 131221022137. The reversal of 131221022101 is 101220122131.

It can be written as a sum of positive squares in 4 ways, for example, as 2246665201 + 128974356900 = 47399^2 + 359130^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131221022101 - 2¹³ = 131221013909 is a prime.

It is a super-2 number, since 2×131221022101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221022161) 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, 296879920 + ... + 296880361.

It is an arithmetic number, because the mean of its divisors is an integer number (18703448883).

Almost surely, 2^131221022101 is an apocalyptic number.

It is an amenable number.

131221022101 is a deficient number, since it is larger than the sum of its proper divisors (18406568963).

131221022101 is a wasteful number, since it uses less digits than its factorization.

131221022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593760311.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131221022101 its reverse (101220122131), we get a palindrome (232441144232).

The spelling of 131221022101 in words is "one hundred thirty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred one".