1102101000021 has 24 divisors (see below), whose sum is σ = 1819848064320. Its totient is φ = 629596593216.

The previous prime is 1102101000001. The next prime is 1102101000031. The reversal of 1102101000021 is 1200001012011.

It is a happy number.

It is not a de Polignac number, because 1102101000021 - 2⁶ = 1102100999957 is a prime.

It is a super-3 number, since 3×1102101000021³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102100999967 and 1102101000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208051 + ... + 2660768.

It is an arithmetic number, because the mean of its divisors is an integer number (75827002680).

Almost surely, 2^{1102101000021} is an apocalyptic number.

It is an amenable number.

1102101000021 is a deficient number, since it is larger than the sum of its proper divisors (717747064299).

1102101000021 is a wasteful number, since it uses less digits than its factorization.

1102101000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872425 (or 4872422 counting only the distinct ones).

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

Adding to 1102101000021 its reverse (1200001012011), we get a palindrome (2302102012032).

The spelling of 1102101000021 in words is "one trillion, one hundred two billion, one hundred one million, twenty-one", and thus it is an aban number.