100491221160 has 672 divisors, whose sum is σ = 392496300000. Its totient is φ = 23063927040.

The previous prime is 100491221153. The next prime is 100491221161. The reversal of 100491221160 is 61122194001.

100491221160 is a `hidden beast` number, since 10 + 0 + 491 + 2 + 2 + 1 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100491221161) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 67038091 + ... + 67039589.

It is an arithmetic number, because the mean of its divisors is an integer number (584071875).

Almost surely, 2^100491221160 is an apocalyptic number.

100491221160 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 100491221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196248150000).

100491221160 is an abundant number, since it is smaller than the sum of its proper divisors (292005078840).

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

100491221160 is a wasteful number, since it uses less digits than its factorization.

100491221160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 100491221160 in words is "one hundred billion, four hundred ninety-one million, two hundred twenty-one thousand, one hundred sixty".