1102001002101 has 12 divisors (see below), whose sum is σ = 1593511314720. Its totient is φ = 733867908840.

The previous prime is 1102001002093. The next prime is 1102001002121. The reversal of 1102001002101 is 1012001002011.

It is a happy number.

It is not a de Polignac number, because 1102001002101 - 2³ = 1102001002093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102001002121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66610095 + ... + 66626636.

It is an arithmetic number, because the mean of its divisors is an integer number (132792609560).

Almost surely, 2^{1102001002101} is an apocalyptic number.

It is an amenable number.

1102001002101 is a deficient number, since it is larger than the sum of its proper divisors (491510312619).

1102001002101 is a wasteful number, since it uses less digits than its factorization.

1102001002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133237656 (or 133237653 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102001002101 its reverse (1012001002011), we get a palindrome (2114002004112).

The spelling of 1102001002101 in words is "one trillion, one hundred two billion, one million, two thousand, one hundred one".