1100121011010 has 128 divisors (see below), whose sum is σ = 3375252288000. Its totient is φ = 249768541440.

The previous prime is 1100121010997. The next prime is 1100121011027. The reversal of 1100121011010 is 101101210011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100121010983 and 1100121011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1671661 + ... + 2234880.

It is an arithmetic number, because the mean of its divisors is an integer number (26369158500).

Almost surely, 2^{1100121011010} is an apocalyptic number.

1100121011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100121011010 is an abundant number, since it is smaller than the sum of its proper divisors (2275131276990).

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

1100121011010 is a wasteful number, since it uses less digits than its factorization.

1100121011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906713 (or 3906707 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100121011010 its reverse (101101210011), we get a palindrome (1201222221021).

The spelling of 1100121011010 in words is "one trillion, one hundred billion, one hundred twenty-one million, eleven thousand, ten".