1021102112101 has 16 divisors (see below), whose sum is σ = 1031802071040. Its totient is φ = 1010432908800.

The previous prime is 1021102112087. The next prime is 1021102112153. The reversal of 1021102112101 is 1012112011201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1021102112101 - 2⁷ = 1021102111973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021102112201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270919345 + ... + 270923113.

It is an arithmetic number, because the mean of its divisors is an integer number (64487629440).

Almost surely, 2^{1021102112101} is an apocalyptic number.

It is an amenable number.

1021102112101 is a deficient number, since it is larger than the sum of its proper divisors (10699958939).

1021102112101 is a wasteful number, since it uses less digits than its factorization.

1021102112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116.

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

Adding to 1021102112101 its reverse (1012112011201), we get a palindrome (2033214123302).

The spelling of 1021102112101 in words is "one trillion, twenty-one billion, one hundred two million, one hundred twelve thousand, one hundred one".