100091476521972 has 240 divisors, whose sum is σ = 285964894575360. Its totient is φ = 30342377564928.

The previous prime is 100091476521961. The next prime is 100091476521973. The reversal of 100091476521972 is 279125674190001.

100091476521972 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 1 + 47 + 6 + 521 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091476521973) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155071258 + ... + 155715374.

It is an arithmetic number, because the mean of its divisors is an integer number (1191520394064).

Almost surely, 2^{100091476521972} is an apocalyptic number.

100091476521972 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 100091476521972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142982447287680).

100091476521972 is an abundant number, since it is smaller than the sum of its proper divisors (185873418053388).

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

100091476521972 is a wasteful number, since it uses less digits than its factorization.

100091476521972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644692 (or 644681 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 100091476521972 in words is "one hundred trillion, ninety-one billion, four hundred seventy-six million, five hundred twenty-one thousand, nine hundred seventy-two".