101342103312040 has 128 divisors (see below), whose sum is σ = 253525318041600. Its totient is φ = 36300215266560.

The previous prime is 101342103312017. The next prime is 101342103312061. The reversal of 101342103312040 is 40213301243101.

It is a junction number, because it is equal to n+sod(n) for n = 101342103311996 and 101342103312014.

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, 49003752 + ... + 51029911.

It is an arithmetic number, because the mean of its divisors is an integer number (1980666547200).

Almost surely, 2^{101342103312040} is an apocalyptic number.

101342103312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101342103312040 is an abundant number, since it is smaller than the sum of its proper divisors (152183214729560).

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

101342103312040 is a wasteful number, since it uses less digits than its factorization.

101342103312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100033767 (or 100033763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101342103312040 its reverse (40213301243101), we get a palindrome (141555404555141).

The spelling of 101342103312040 in words is "one hundred one trillion, three hundred forty-two billion, one hundred three million, three hundred twelve thousand, forty".