1110006010100 has 54 divisors (see below), whose sum is σ = 2608251440130. Its totient is φ = 409848366720.

The previous prime is 1110006010073. The next prime is 1110006010123. The reversal of 1110006010100 is 10106000111.

It can be written as a sum of positive squares in 9 ways, for example, as 722489800036 + 387516210064 = 849994^2 + 622508^2 .

It is a super-2 number, since 2×1110006010100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32823515 + ... + 32857314.

It is an arithmetic number, because the mean of its divisors is an integer number (48300952595).

Almost surely, 2^{1110006010100} is an apocalyptic number.

1110006010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110006010100 is an abundant number, since it is smaller than the sum of its proper divisors (1498245430030).

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

1110006010100 is a wasteful number, since it uses less digits than its factorization.

1110006010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65680869 (or 65680849 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The spelling of 1110006010100 in words is "one trillion, one hundred ten billion, six million, ten thousand, one hundred".