1000101102138 has 144 divisors (see below), whose sum is σ = 2294614033920. Its totient is φ = 314613464256.

The previous prime is 1000101102113. The next prime is 1000101102139. The reversal of 1000101102138 is 8312011010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000101102138.

It is not an unprimeable number, because it can be changed into a prime (1000101102139) 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, 123572020 + ... + 123580112.

It is an arithmetic number, because the mean of its divisors is an integer number (15934819680).

Almost surely, 2^{1000101102138} is an apocalyptic number.

1000101102138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1000101102138 is an abundant number, since it is smaller than the sum of its proper divisors (1294512931782).

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

1000101102138 is a wasteful number, since it uses less digits than its factorization.

1000101102138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1000101102138 its reverse (8312011010001), we get a palindrome (9312112112139).

The spelling of 1000101102138 in words is "one trillion, one hundred one million, one hundred two thousand, one hundred thirty-eight".