10100041694352 has 360 divisors, whose sum is σ = 30827346471168. Its totient is φ = 3083299084800.

The previous prime is 10100041694311. The next prime is 10100041694359. The reversal of 10100041694352 is 25349614000101.

It is a happy number.

10100041694352 is a `hidden beast` number, since 1 + 0 + 100 + 0 + 416 + 94 + 3 + 52 = 666.

10100041694352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10100041694359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1809716202 + ... + 1809721782.

Almost surely, 2^{10100041694352} is an apocalyptic number.

10100041694352 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 10100041694352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413673235584).

10100041694352 is an abundant number, since it is smaller than the sum of its proper divisors (20727304776816).

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

10100041694352 is a wasteful number, since it uses less digits than its factorization.

10100041694352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10100041694352 its reverse (25349614000101), we get a palindrome (35449655694453).

The spelling of 10100041694352 in words is "ten trillion, one hundred billion, forty-one million, six hundred ninety-four thousand, three hundred fifty-two".