101255148732352 has 112 divisors (see below), whose sum is σ = 204932208140352. Its totient is φ = 49620706836480.

The previous prime is 101255148732341. The next prime is 101255148732407. The reversal of 101255148732352 is 253237841552101.

It is a junction number, because it is equal to n+sod(n) for n = 101255148732296 and 101255148732305.

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, 23763233902 + ... + 23763238162.

It is an arithmetic number, because the mean of its divisors is an integer number (1829751858396).

Almost surely, 2^{101255148732352} 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 101255148732352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102466104070176).

101255148732352 is an abundant number, since it is smaller than the sum of its proper divisors (103677059408000).

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

101255148732352 is a wasteful number, since it uses less digits than its factorization.

101255148732352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9966 (or 9956 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 101255148732352 in words is "one hundred one trillion, two hundred fifty-five billion, one hundred forty-eight million, seven hundred thirty-two thousand, three hundred fifty-two".