1101002100121 has 64 divisors (see below), whose sum is σ = 1448852520960. Its totient is φ = 811212272640.

The previous prime is 1101002100067. The next prime is 1101002100151. The reversal of 1101002100121 is 1210012001011.

It is not a de Polignac number, because 1101002100121 - 2²⁷ = 1100867882393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101002100098 and 1101002100107.

It is not an unprimeable number, because it can be changed into a prime (1101002100151) 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, 77840776 + ... + 77854918.

It is an arithmetic number, because the mean of its divisors is an integer number (22638320640).

Almost surely, 2^{1101002100121} is an apocalyptic number.

1101002100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101002100121 is a deficient number, since it is larger than the sum of its proper divisors (347850420839).

1101002100121 is a wasteful number, since it uses less digits than its factorization.

1101002100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686.

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

Adding to 1101002100121 its reverse (1210012001011), we get a palindrome (2311014101132).

The spelling of 1101002100121 in words is "one trillion, one hundred one billion, two million, one hundred thousand, one hundred twenty-one".