101361504704460 has 768 divisors, whose sum is σ = 391162942291968. Its totient is φ = 18928600473600.

The previous prime is 101361504704429. The next prime is 101361504704461. The reversal of 101361504704460 is 64407405163101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (101361504704461) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1199175759 + ... + 1199260281.

It is an arithmetic number, because the mean of its divisors is an integer number (509326747776).

Almost surely, 2^{101361504704460} is an apocalyptic number.

101361504704460 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 101361504704460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195581471145984).

101361504704460 is an abundant number, since it is smaller than the sum of its proper divisors (289801437587508).

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

101361504704460 is a wasteful number, since it uses less digits than its factorization.

101361504704460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85094 (or 85092 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 101361504704460 its reverse (64407405163101), we get a palindrome (165768909867561).

The spelling of 101361504704460 in words is "one hundred one trillion, three hundred sixty-one billion, five hundred four million, seven hundred four thousand, four hundred sixty".