1100102101021 has 16 divisors (see below), whose sum is σ = 1382891050368. Its totient is φ = 857222409120.

The previous prime is 1100102100941. The next prime is 1100102101051. The reversal of 1100102101021 is 1201012010011.

It is not a de Polignac number, because 1100102101021 - 2²³ = 1100093712413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100102100989 and 1100102101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100102101051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59028040 + ... + 59046673.

It is an arithmetic number, because the mean of its divisors is an integer number (86430690648).

Almost surely, 2^{1100102101021} is an apocalyptic number.

1100102101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100102101021 is a deficient number, since it is larger than the sum of its proper divisors (282788949347).

1100102101021 is an equidigital number, since it uses as much as digits as its factorization.

1100102101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118074753 (or 118074731 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100102101021 its reverse (1201012010011), we get a palindrome (2301114111032).

The spelling of 1100102101021 in words is "one trillion, one hundred billion, one hundred two million, one hundred one thousand, twenty-one".