100999635116472 has 384 divisors, whose sum is σ = 299559248352000. Its totient is φ = 31792499481600.

The previous prime is 100999635116447. The next prime is 100999635116503. The reversal of 100999635116472 is 274611536999001.

100999635116472 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 99 + 63 + 5 + 1 + 16 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29420224068 + ... + 29420227500.

It is an arithmetic number, because the mean of its divisors is an integer number (780102209250).

Almost surely, 2^{100999635116472} is an apocalyptic number.

100999635116472 is a gapful number since it is divisible by the number (12) 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 100999635116472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149779624176000).

100999635116472 is an abundant number, since it is smaller than the sum of its proper divisors (198559613235528).

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

100999635116472 is a wasteful number, since it uses less digits than its factorization.

100999635116472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 100999635116472 in words is "one hundred trillion, nine hundred ninety-nine billion, six hundred thirty-five million, one hundred sixteen thousand, four hundred seventy-two".