10642633040100 has 288 divisors, whose sum is σ = 31783502281216. Its totient is φ = 2748299673600.

The previous prime is 10642633040089. The next prime is 10642633040107. The reversal of 10642633040100 is 104033624601.

It is a super-3 number, since 3×10642633040100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10642633040107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 770807397 + ... + 770821203.

Almost surely, 2^{10642633040100} is an apocalyptic number.

10642633040100 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 10642633040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891751140608).

10642633040100 is an abundant number, since it is smaller than the sum of its proper divisors (21140869241116).

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

10642633040100 is a wasteful number, since it uses less digits than its factorization.

10642633040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14528 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10642633040100 its reverse (104033624601), we get a palindrome (10746666664701).

The spelling of 10642633040100 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, forty thousand, one hundred".