101348021698506 has 576 divisors, whose sum is σ = 273621835468800. Its totient is φ = 28003379564160.

The previous prime is 101348021698463. The next prime is 101348021698507. The reversal of 101348021698506 is 605896120843101.

It is a happy number.

101348021698506 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 48 + 0 + 2 + 1 + 6 + 98 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101348021698507) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3098648205 + ... + 3098680911.

It is an arithmetic number, because the mean of its divisors is an integer number (475037908800).

Almost surely, 2^{101348021698506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101348021698506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136810917734400).

101348021698506 is an abundant number, since it is smaller than the sum of its proper divisors (172273813770294).

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

101348021698506 is a wasteful number, since it uses less digits than its factorization.

101348021698506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877 (or 32854 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 101348021698506 in words is "one hundred one trillion, three hundred forty-eight billion, twenty-one million, six hundred ninety-eight thousand, five hundred six".