101014312135240 has 128 divisors (see below), whose sum is σ = 274388358528000. Its totient is φ = 32694724562688.

The previous prime is 101014312135229. The next prime is 101014312135267. The reversal of 101014312135240 is 42531213410101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 101014312135199 and 101014312135208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32041530 + ... + 35052649.

It is an arithmetic number, because the mean of its divisors is an integer number (2143659051000).

Almost surely, 2^{101014312135240} is an apocalyptic number.

101014312135240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101014312135240 is an abundant number, since it is smaller than the sum of its proper divisors (173374046392760).

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

101014312135240 is a wasteful number, since it uses less digits than its factorization.

101014312135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67094499 (or 67094495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 101014312135240 its reverse (42531213410101), we get a palindrome (143545525545341).

The spelling of 101014312135240 in words is "one hundred one trillion, fourteen billion, three hundred twelve million, one hundred thirty-five thousand, two hundred forty".