1102121202101 has 4 divisors (see below), whose sum is σ = 1112232405900. Its totient is φ = 1092009998304.

The previous prime is 1102121202079. The next prime is 1102121202173. The reversal of 1102121202101 is 1012021212011.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 762127254001 + 339993948100 = 872999^2 + 583090^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102121202101 - 2¹⁴ = 1102121185717 is a prime.

It is a super-2 number, since 2×1102121202101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102121202601) 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 3 ways as a sum of consecutive naturals, for example, 5055601736 + ... + 5055601953.

It is an arithmetic number, because the mean of its divisors is an integer number (278058101475).

Almost surely, 2^{1102121202101} is an apocalyptic number.

It is an amenable number.

1102121202101 is a deficient number, since it is larger than the sum of its proper divisors (10111203799).

1102121202101 is a wasteful number, since it uses less digits than its factorization.

1102121202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111203798.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102121202101 its reverse (1012021212011), we get a palindrome (2114142414112).

The spelling of 1102121202101 in words is "one trillion, one hundred two billion, one hundred twenty-one million, two hundred two thousand, one hundred one".