101741416046652 has 96 divisors (see below), whose sum is σ = 243114789657600. Its totient is φ = 33101011641600.

The previous prime is 101741416046573. The next prime is 101741416046659. The reversal of 101741416046652 is 256640614147101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101741416046659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330015474 + ... + 330323622.

It is an arithmetic number, because the mean of its divisors is an integer number (2532445725600).

Almost surely, 2^{101741416046652} is an apocalyptic number.

101741416046652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101741416046652 is an abundant number, since it is smaller than the sum of its proper divisors (141373373610948).

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

101741416046652 is a wasteful number, since it uses less digits than its factorization.

101741416046652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309811 (or 309809 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 101741416046652 in words is "one hundred one trillion, seven hundred forty-one billion, four hundred sixteen million, forty-six thousand, six hundred fifty-two".