1100102102121 has 32 divisors (see below), whose sum is σ = 1621955966976. Its totient is φ = 657690840000.

The previous prime is 1100102102111. The next prime is 1100102102123. The reversal of 1100102102121 is 1212012010011.

It is not a de Polignac number, because 1100102102121 - 2⁵ = 1100102102089 is a prime.

It is a super-2 number, since 2×1100102102121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100102102097 and 1100102102106.

It is not an unprimeable number, because it can be changed into a prime (1100102102123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294270 + ... + 1512216.

It is an arithmetic number, because the mean of its divisors is an integer number (50686123968).

Almost surely, 2^{1100102102121} is an apocalyptic number.

1100102102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100102102121 is a deficient number, since it is larger than the sum of its proper divisors (521853864855).

1100102102121 is a wasteful number, since it uses less digits than its factorization.

1100102102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218333.

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

Adding to 1100102102121 its reverse (1212012010011), we get a palindrome (2312114112132).

The spelling of 1100102102121 in words is "one trillion, one hundred billion, one hundred two million, one hundred two thousand, one hundred twenty-one".