1010111102101 has 8 divisors (see below), whose sum is σ = 1029997358208. Its totient is φ = 990382050000.

The previous prime is 1010111102093. The next prime is 1010111102137. The reversal of 1010111102101 is 1012011110101.

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 1010111102101 - 2³ = 1010111102093 is a prime.

It is a super-2 number, since 2×1010111102101² (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 (1010111102141) 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, 39288025 + ... + 39313726.

It is an arithmetic number, because the mean of its divisors is an integer number (128749669776).

Almost surely, 2^{1010111102101} is an apocalyptic number.

It is an amenable number.

1010111102101 is a deficient number, since it is larger than the sum of its proper divisors (19886256107).

1010111102101 is an equidigital number, since it uses as much as digits as its factorization.

1010111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78602003.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1010111102101 its reverse (1012011110101), we get a palindrome (2022122212202).

The spelling of 1010111102101 in words is "one trillion, ten billion, one hundred eleven million, one hundred two thousand, one hundred one".