1001100122010 has 48 divisors (see below), whose sum is σ = 2645530173000. Its totient is φ = 262583637120.

The previous prime is 1001100121979. The next prime is 1001100122017. The reversal of 1001100122010 is 102210011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 509234950449 + 491865171561 = 713607^2 + 701331^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001100121983 and 1001100122001.

It is not an unprimeable number, because it can be changed into a prime (1001100122017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91169385 + ... + 91180364.

Almost surely, 2^{1001100122010} is an apocalyptic number.

1001100122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001100122010 is an abundant number, since it is smaller than the sum of its proper divisors (1644430050990).

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

1001100122010 is a wasteful number, since it uses less digits than its factorization.

1001100122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182349823 (or 182349820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100122010 its reverse (102210011001), we get a palindrome (1103310133011).

The spelling of 1001100122010 in words is "one trillion, one billion, one hundred million, one hundred twenty-two thousand, ten".