101410505304140 has 96 divisors (see below), whose sum is σ = 230299719229440. Its totient is φ = 37363690671104.

The previous prime is 101410505304131. The next prime is 101410505304179. The reversal of 101410505304140 is 41403505014101.

It is a super-2 number, since 2×101410505304140² (a number of 29 digits) contains 22 as substring.

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, 302797457 + ... + 303132183.

It is an arithmetic number, because the mean of its divisors is an integer number (2398955408640).

Almost surely, 2^{101410505304140} is an apocalyptic number.

101410505304140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101410505304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115149859614720).

101410505304140 is an abundant number, since it is smaller than the sum of its proper divisors (128889213925300).

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

101410505304140 is a wasteful number, since it uses less digits than its factorization.

101410505304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353759 (or 353757 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 101410505304140 in words is "one hundred one trillion, four hundred ten billion, five hundred five million, three hundred four thousand, one hundred forty".