101364261544 has 128 divisors (see below), whose sum is σ = 242641808640. Its totient is φ = 38630172672.

The previous prime is 101364261521. The next prime is 101364261547. The reversal of 101364261544 is 445162463101.

It is not an unprimeable number, because it can be changed into a prime (101364261547) 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, 2263014 + ... + 2307370.

It is an arithmetic number, because the mean of its divisors is an integer number (1895639130).

Almost surely, 2^101364261544 is an apocalyptic number.

101364261544 is a gapful number since it is divisible by the number (14) 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 101364261544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121320904320).

101364261544 is an abundant number, since it is smaller than the sum of its proper divisors (141277547096).

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

101364261544 is a wasteful number, since it uses less digits than its factorization.

101364261544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44499 (or 44495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 101364261544 in words is "one hundred one billion, three hundred sixty-four million, two hundred sixty-one thousand, five hundred forty-four".