101221332000131 has 8 divisors (see below), whose sum is σ = 115736269828704. Its totient is φ = 86720081057280.

The previous prime is 101221332000127. The next prime is 101221332000161. The reversal of 101221332000131 is 131000233122101.

It is a happy number.

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 101221332000131 - 2² = 101221332000127 is a prime.

It is a super-2 number, since 2×101221332000131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221332000161) 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, 3421705580 + ... + 3421735161.

It is an arithmetic number, because the mean of its divisors is an integer number (14467033728588).

Almost surely, 2^{101221332000131} is an apocalyptic number.

101221332000131 is a deficient number, since it is larger than the sum of its proper divisors (14514937828573).

101221332000131 is an equidigital number, since it uses as much as digits as its factorization.

101221332000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843442861.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101221332000131 its reverse (131000233122101), we get a palindrome (232221565122232).

The spelling of 101221332000131 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-one", and thus it is an aban number.