101150405400304 has 80 divisors (see below), whose sum is σ = 216214596005184. Its totient is φ = 45543468902400.

The previous prime is 101150405400259. The next prime is 101150405400349. The reversal of 101150405400304 is 403004504051101.

101150405400304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101150405400259) and next prime (101150405400349).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148311342 + ... + 148991794.

Almost surely, 2^{101150405400304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101150405400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108107298002592).

101150405400304 is an abundant number, since it is smaller than the sum of its proper divisors (115064190604880).

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

101150405400304 is a wasteful number, since it uses less digits than its factorization.

101150405400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697946 (or 697940 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 101150405400304 its reverse (403004504051101), we get a palindrome (504154909451405).

The spelling of 101150405400304 in words is "one hundred one trillion, one hundred fifty billion, four hundred five million, four hundred thousand, three hundred four".