1021102121101 has 8 divisors (see below), whose sum is σ = 1118448571320. Its totient is φ = 927898073088.

The previous prime is 1021102121089. The next prime is 1021102121107. The reversal of 1021102121101 is 1011212011201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36295965225 + 984806155876 = 190515^2 + 992374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1021102121101 - 2⁹ = 1021102120589 is a prime.

It is a super-2 number, since 2×1021102121101² (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 (1021102121107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1035600036 + ... + 1035601021.

It is an arithmetic number, because the mean of its divisors is an integer number (139806071415).

Almost surely, 2^{1021102121101} is an apocalyptic number.

It is an amenable number.

1021102121101 is a deficient number, since it is larger than the sum of its proper divisors (97346450219).

1021102121101 is a wasteful number, since it uses less digits than its factorization.

1021102121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071201103.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1021102121101 its reverse (1011212011201), we get a palindrome (2032314132302).

The spelling of 1021102121101 in words is "one trillion, twenty-one billion, one hundred two million, one hundred twenty-one thousand, one hundred one".