1011000500100 has 108 divisors (see below), whose sum is σ = 3180365847204. Its totient is φ = 268626781440.

The previous prime is 1011000500099. The next prime is 1011000500183. The reversal of 1011000500100 is 10050001101.

It can be written as a sum of positive squares in 6 ways, for example, as 384473664 + 1010616026436 = 19608^2 + 1005294^2 .

It is a super-2 number, since 2×1011000500100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1778379 + ... + 2276978.

Almost surely, 2^{1011000500100} is an apocalyptic number.

1011000500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000500100 is an abundant number, since it is smaller than the sum of its proper divisors (2169365347104).

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

1011000500100 is a wasteful number, since it uses less digits than its factorization.

1011000500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055654 (or 4055644 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 1011000500100 its reverse (10050001101), we get a palindrome (1021050501201).

The spelling of 1011000500100 in words is "one trillion, eleven billion, five hundred thousand, one hundred".