10000110061000 has 64 divisors (see below), whose sum is σ = 23614939062000. Its totient is φ = 3963346329600.

The previous prime is 10000110060991. The next prime is 10000110061009. The reversal of 10000110061000 is 16001100001.

It is an interprime number because it is at equal distance from previous prime (10000110060991) and next prime (10000110061009).

It can be written as a sum of positive squares in 8 ways, for example, as 3638304464356 + 6361805596644 = 1907434^2 + 2522262^2 .

It is a super-2 number, since 2×10000110061000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10000110061009) 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, 45763065 + ... + 45981064.

Almost surely, 2^{10000110061000} is an apocalyptic number.

10000110061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000110061000 is an abundant number, since it is smaller than the sum of its proper divisors (13614829001000).

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

10000110061000 is a wasteful number, since it uses less digits than its factorization.

10000110061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91744259 (or 91744245 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10000110061000 its reverse (16001100001), we get a palindrome (10016111161001).

The spelling of 10000110061000 in words is "ten trillion, one hundred ten million, sixty-one thousand".