101111001001638 has 8 divisors (see below), whose sum is σ = 202222002003288. Its totient is φ = 33703667000544.

The previous prime is 101111001001601. The next prime is 101111001001639. The reversal of 101111001001638 is 836100100111101.

It is a sphenic number, since it is the product of 3 distinct primes.

101111001001638 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001001639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8425916750131 + ... + 8425916750142.

It is an arithmetic number, because the mean of its divisors is an integer number (25277750250411).

Almost surely, 2^{101111001001638} is an apocalyptic number.

101111001001638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101111001001638 is a wasteful number, since it uses less digits than its factorization.

101111001001638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16851833500278.

The product of its (nonzero) digits is 144, while the sum is 24.

Adding to 101111001001638 its reverse (836100100111101), we get a palindrome (937211101112739).

The spelling of 101111001001638 in words is "one hundred one trillion, one hundred eleven billion, one million, one thousand, six hundred thirty-eight".