101314405151000 has 128 divisors (see below), whose sum is σ = 253136451110400. Its totient is φ = 37862288956800.

The previous prime is 101314405150969. The next prime is 101314405151051. The reversal of 101314405151000 is 151504413101.

It is a super-2 number, since 2×101314405151000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50231630 + ... + 52209629.

It is an arithmetic number, because the mean of its divisors is an integer number (1977628524300).

Almost surely, 2^{101314405151000} is an apocalyptic number.

101314405151000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314405151000 is an abundant number, since it is smaller than the sum of its proper divisors (151822045959400).

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

101314405151000 is a wasteful number, since it uses less digits than its factorization.

101314405151000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102441346 (or 102441332 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 101314405151000 its reverse (151504413101), we get a palindrome (101465909564101).

The spelling of 101314405151000 in words is "one hundred one trillion, three hundred fourteen billion, four hundred five million, one hundred fifty-one thousand".