10642633040101 has 16 divisors (see below), whose sum is σ = 11341268434944. Its totient is φ = 9952073374464.

The previous prime is 10642633040089. The next prime is 10642633040107. The reversal of 10642633040101 is 10104033624601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10642633040101 - 2⁵ = 10642633040069 is a prime.

It is a super-3 number, since 3×10642633040101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38571036 + ... + 38845978.

It is an arithmetic number, because the mean of its divisors is an integer number (708829277184).

Almost surely, 2^{10642633040101} is an apocalyptic number.

It is an amenable number.

10642633040101 is a deficient number, since it is larger than the sum of its proper divisors (698635394843).

10642633040101 is a wasteful number, since it uses less digits than its factorization.

10642633040101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289620.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 10642633040101 its reverse (10104033624601), we get a palindrome (20746666664702).

The spelling of 10642633040101 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, forty thousand, one hundred one".