1010100100068 has 36 divisors (see below), whose sum is σ = 2559675975948. Its totient is φ = 335860377600.

The previous prime is 1010100100039. The next prime is 1010100100069. The reversal of 1010100100068 is 8600010010101.

It can be written as a sum of positive squares in 2 ways, for example, as 922786941924 + 87313158144 = 960618^2 + 295488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1010100100068² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010100100068.

It is not an unprimeable number, because it can be changed into a prime (1010100100069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34971021 + ... + 34999892.

It is an arithmetic number, because the mean of its divisors is an integer number (71102110443).

Almost surely, 2^{1010100100068} is an apocalyptic number.

1010100100068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1010100100068 is an abundant number, since it is smaller than the sum of its proper divisors (1549575875880).

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

1010100100068 is a wasteful number, since it uses less digits than its factorization.

1010100100068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69971324 (or 69971319 counting only the distinct ones).

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

Adding to 1010100100068 its reverse (8600010010101), we get a palindrome (9610110110169).

The spelling of 1010100100068 in words is "one trillion, ten billion, one hundred million, one hundred thousand, sixty-eight".