1000180862100 has 432 divisors, whose sum is σ = 3636968969088. Its totient is φ = 225169735680.

The previous prime is 1000180862077. The next prime is 1000180862101. The reversal of 1000180862100 is 12680810001.

It is a super-2 number, since 2×1000180862100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000180862101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 559697407 + ... + 559699193.

Almost surely, 2^{1000180862100} is an apocalyptic number.

1000180862100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000180862100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818484484544).

1000180862100 is an abundant number, since it is smaller than the sum of its proper divisors (2636788106988).

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

1000180862100 is a wasteful number, since it uses less digits than its factorization.

1000180862100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 1000180862100 in words is "one trillion, one hundred eighty million, eight hundred sixty-two thousand, one hundred".