101255554016 has 48 divisors (see below), whose sum is σ = 208533473568. Its totient is φ = 48305664000.

The previous prime is 101255553953. The next prime is 101255554021. The reversal of 101255554016 is 610455552101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123596 + ... + 466676.

It is an arithmetic number, because the mean of its divisors is an integer number (4344447366).

Almost surely, 2^101255554016 is an apocalyptic number.

101255554016 is a gapful number since it is divisible by the number (16) 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 101255554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104266736784).

101255554016 is an abundant number, since it is smaller than the sum of its proper divisors (107277919552).

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

101255554016 is a wasteful number, since it uses less digits than its factorization.

101255554016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343515 (or 343507 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 101255554016 in words is "one hundred one billion, two hundred fifty-five million, five hundred fifty-four thousand, sixteen".