101416738500 has 960 divisors, whose sum is σ = 437012319744. Its totient is φ = 19823616000.

The previous prime is 101416738469. The next prime is 101416738523. The reversal of 101416738500 is 5837614101.

101416738500 is a `hidden beast` number, since 1 + 0 + 141 + 6 + 7 + 3 + 8 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53013544 + ... + 53015456.

Almost surely, 2^101416738500 is an apocalyptic number.

101416738500 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 101416738500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218506159872).

101416738500 is an abundant number, since it is smaller than the sum of its proper divisors (335595581244).

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

101416738500 is a wasteful number, since it uses less digits than its factorization.

101416738500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 101416738500 in words is "one hundred one billion, four hundred sixteen million, seven hundred thirty-eight thousand, five hundred".