10010959835100 has 576 divisors, whose sum is σ = 37142872704000. Its totient is φ = 2026556375040.

The previous prime is 10010959835059. The next prime is 10010959835113. The reversal of 10010959835100 is 153895901001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101017174 + ... + 101116226.

It is an arithmetic number, because the mean of its divisors is an integer number (64484154000).

Almost surely, 2^{10010959835100} is an apocalyptic number.

10010959835100 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 10010959835100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571436352000).

10010959835100 is an abundant number, since it is smaller than the sum of its proper divisors (27131912868900).

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

10010959835100 is a wasteful number, since it uses less digits than its factorization.

10010959835100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99262 (or 99255 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 42.

The spelling of 10010959835100 in words is "ten trillion, ten billion, nine hundred fifty-nine million, eight hundred thirty-five thousand, one hundred".