101311142201010 has 48 divisors (see below), whose sum is σ = 301038822542016. Its totient is φ = 23156832502944.

The previous prime is 101311142200969. The next prime is 101311142201011. The reversal of 101311142201010 is 10102241113101.

101311142201010 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 142 + 201 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101311142201011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80405667784 + ... + 80405669043.

It is an arithmetic number, because the mean of its divisors is an integer number (6271642136292).

Almost surely, 2^{101311142201010} is an apocalyptic number.

101311142201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101311142201010 is an abundant number, since it is smaller than the sum of its proper divisors (199727680341006).

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

101311142201010 is a wasteful number, since it uses less digits than its factorization.

101311142201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160811336847 (or 160811336844 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101311142201010 its reverse (10102241113101), we get a palindrome (111413383314111).

The spelling of 101311142201010 in words is "one hundred one trillion, three hundred eleven billion, one hundred forty-two million, two hundred one thousand, ten".