1020110102101 has 4 divisors (see below), whose sum is σ = 1039357462572. Its totient is φ = 1000862741632.

The previous prime is 1020110102071. The next prime is 1020110102111. The reversal of 1020110102101 is 1012010110201.

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 907046712100 + 113063390001 = 952390^2 + 336249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020110102101 - 2⁵ = 1020110102069 is a prime.

It is a super-2 number, since 2×1020110102101² (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 (1020110102111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9623680156 + ... + 9623680261.

It is an arithmetic number, because the mean of its divisors is an integer number (259839365643).

Almost surely, 2^{1020110102101} is an apocalyptic number.

It is an amenable number.

1020110102101 is a deficient number, since it is larger than the sum of its proper divisors (19247360471).

1020110102101 is an equidigital number, since it uses as much as digits as its factorization.

1020110102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19247360470.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1020110102101 its reverse (1012010110201), we get a palindrome (2032120212302).

It can be divided in two parts, 1020110 and 102101, that added together give a palindrome (1122211).

The spelling of 1020110102101 in words is "one trillion, twenty billion, one hundred ten million, one hundred two thousand, one hundred one".