1001000061100 has 72 divisors (see below), whose sum is σ = 2367444255120. Its totient is φ = 365146970880.

The previous prime is 1001000061097. The next prime is 1001000061121. The reversal of 1001000061100 is 11600001001.

It is a super-2 number, since 2×1001000061100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4530655 + ... + 4746454.

It is an arithmetic number, because the mean of its divisors is an integer number (32881170210).

Almost surely, 2^{1001000061100} is an apocalyptic number.

1001000061100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000061100 is an abundant number, since it is smaller than the sum of its proper divisors (1366444194020).

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

1001000061100 is a wasteful number, since it uses less digits than its factorization.

1001000061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277219 (or 9277212 counting only the distinct ones).

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

Adding to 1001000061100 its reverse (11600001001), we get a palindrome (1012600062101).

The spelling of 1001000061100 in words is "one trillion, one billion, sixty-one thousand, one hundred".