101191362048 has 640 divisors, whose sum is σ = 358498483200. Its totient is φ = 27571912704.

The previous prime is 101191362047. The next prime is 101191362061. The reversal of 101191362048 is 840263191101.

101191362048 is a `hidden beast` number, since 1 + 0 + 1 + 19 + 13 + 620 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101191362047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300270936 + ... + 300271272.

It is an arithmetic number, because the mean of its divisors is an integer number (560153880).

Almost surely, 2^101191362048 is an apocalyptic number.

101191362048 is a gapful number since it is divisible by the number (18) 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 101191362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179249241600).

101191362048 is an abundant number, since it is smaller than the sum of its proper divisors (257307121152).

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

101191362048 is a wasteful number, since it uses less digits than its factorization.

101191362048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 101191362048 in words is "one hundred one billion, one hundred ninety-one million, three hundred sixty-two thousand, forty-eight".