100010032100 has 216 divisors, whose sum is σ = 255721945248. Its totient is φ = 33646233600.

The previous prime is 100010032097. The next prime is 100010032121. The reversal of 100010032100 is 1230010001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17072372 + ... + 17078228.

Almost surely, 2^100010032100 is an apocalyptic number.

100010032100 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 100010032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127860972624).

100010032100 is an abundant number, since it is smaller than the sum of its proper divisors (155711913148).

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

100010032100 is a wasteful number, since it uses less digits than its factorization.

100010032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100010032100 its reverse (1230010001), we get a palindrome (101240042101).

The spelling of 100010032100 in words is "one hundred billion, ten million, thirty-two thousand, one hundred".