10132040100 has 216 divisors, whose sum is σ = 36279969600. Its totient is φ = 2137674240.

The previous prime is 10132040099. The next prime is 10132040123. The reversal of 10132040100 is 104023101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 340626 + ... + 369174.

Almost surely, 2^10132040100 is an apocalyptic number.

10132040100 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 10132040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139984800).

10132040100 is an abundant number, since it is smaller than the sum of its proper divisors (26147929500).

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

10132040100 is a wasteful number, since it uses less digits than its factorization.

10132040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28599 (or 28579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10132040100 its reverse (104023101), we get a palindrome (10236063201).

The spelling of 10132040100 in words is "ten billion, one hundred thirty-two million, forty thousand, one hundred".