101331122011300 has 18 divisors (see below), whose sum is σ = 219888534764738. Its totient is φ = 40532448804480.

The previous prime is 101331122011289. The next prime is 101331122011307. The reversal of 101331122011300 is 3110221133101.

It can be written as a sum of positive squares in 3 ways, for example, as 13678872662016 + 87652249349284 = 3698496^2 + 9362278^2 .

It is not an unprimeable number, because it can be changed into a prime (101331122011307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506655609957 + ... + 506655610156.

Almost surely, 2^{101331122011300} is an apocalyptic number.

101331122011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331122011300 is an abundant number, since it is smaller than the sum of its proper divisors (118557412753438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101331122011300 is a wasteful number, since it uses less digits than its factorization.

101331122011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013311220127 (or 1013311220120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101331122011300 its reverse (3110221133101), we get a palindrome (104441343144401).

The spelling of 101331122011300 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, eleven thousand, three hundred".