1101002002101 has 72 divisors (see below), whose sum is σ = 1718680664064. Its totient is φ = 678895810560.

The previous prime is 1101002002099. The next prime is 1101002002109. The reversal of 1101002002101 is 1012002001011.

It is a happy number.

It is not a de Polignac number, because 1101002002101 - 2¹ = 1101002002099 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 (1101002002109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75450316 + ... + 75464906.

Almost surely, 2^{1101002002101} is an apocalyptic number.

It is an amenable number.

1101002002101 is a deficient number, since it is larger than the sum of its proper divisors (617678661963).

1101002002101 is a wasteful number, since it uses less digits than its factorization.

1101002002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15111 counting only the distinct ones).

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

Adding to 1101002002101 its reverse (1012002001011), we get a palindrome (2113004003112).

The spelling of 1101002002101 in words is "one trillion, one hundred one billion, two million, two thousand, one hundred one".