1102121021001 has 64 divisors (see below), whose sum is σ = 1975012171776. Its totient is φ = 527958086400.

The previous prime is 1102121020999. The next prime is 1102121021021. The reversal of 1102121021001 is 1001201212011.

It is not a de Polignac number, because 1102121021001 - 2¹ = 1102121020999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102121021021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2809936 + ... + 3178046.

It is an arithmetic number, because the mean of its divisors is an integer number (30859565184).

Almost surely, 2^{1102121021001} is an apocalyptic number.

1102121021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102121021001 is a deficient number, since it is larger than the sum of its proper divisors (872891150775).

1102121021001 is a wasteful number, since it uses less digits than its factorization.

1102121021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369142.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102121021001 its reverse (1001201212011), we get a palindrome (2103322233012).

The spelling of 1102121021001 in words is "one trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, one".