100106010561000 has 256 divisors, whose sum is σ = 320820016608000. Its totient is φ = 25969573555200.

The previous prime is 100106010560987. The next prime is 100106010561079. The reversal of 100106010561000 is 165010601001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784595211 + ... + 784722789.

It is an arithmetic number, because the mean of its divisors is an integer number (1253203189875).

Almost surely, 2^{100106010561000} is an apocalyptic number.

100106010561000 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 100106010561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160410008304000).

100106010561000 is an abundant number, since it is smaller than the sum of its proper divisors (220714006047000).

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

100106010561000 is a wasteful number, since it uses less digits than its factorization.

100106010561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134709 (or 134695 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 100106010561000 in words is "one hundred trillion, one hundred six billion, ten million, five hundred sixty-one thousand".