100001010100032 has 224 divisors, whose sum is σ = 299043496400000. Its totient is φ = 32760922521600.

The previous prime is 100001010100031. The next prime is 100001010100037. The reversal of 100001010100032 is 230001010100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001010099987 and 100001010100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010100031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131274807 + ... + 132034377.

Almost surely, 2^{100001010100032} is an apocalyptic number.

100001010100032 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 100001010100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149521748200000).

100001010100032 is an abundant number, since it is smaller than the sum of its proper divisors (199042486299968).

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

100001010100032 is a wasteful number, since it uses less digits than its factorization.

100001010100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760902 (or 760886 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100001010100032 its reverse (230001010100001), we get a palindrome (330002020200033).

The spelling of 100001010100032 in words is "one hundred trillion, one billion, ten million, one hundred thousand, thirty-two".