101538747228780 has 144 divisors (see below), whose sum is σ = 312276729177504. Its totient is φ = 26701233914880.

The previous prime is 101538747228739. The next prime is 101538747228811. The reversal of 101538747228780 is 87822747835101.

101538747228780 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 8 + 7 + 472 + 2 + 87 + 80 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71978782 + ... + 73375898.

It is an arithmetic number, because the mean of its divisors is an integer number (2168588397066).

Almost surely, 2^{101538747228780} is an apocalyptic number.

101538747228780 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 101538747228780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156138364588752).

101538747228780 is an abundant number, since it is smaller than the sum of its proper divisors (210737981948724).

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

101538747228780 is a wasteful number, since it uses less digits than its factorization.

101538747228780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402736 (or 1402731 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 101538747228780 in words is "one hundred one trillion, five hundred thirty-eight billion, seven hundred forty-seven million, two hundred twenty-eight thousand, seven hundred eighty".