2101020112101 has 8 divisors (see below), whose sum is σ = 2801394823360. Its totient is φ = 1400662737792.

The previous prime is 2101020112097. The next prime is 2101020112127. The reversal of 2101020112101 is 1012110201012.

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

It is not a de Polignac number, because 2101020112101 - 2² = 2101020112097 is a prime.

It is a super-2 number, since 2×2101020112101² (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 (2101020112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4048780 + ... + 4538133.

It is an arithmetic number, because the mean of its divisors is an integer number (350174352920).

Almost surely, 2^{2101020112101} is an apocalyptic number.

It is an amenable number.

2101020112101 is a deficient number, since it is larger than the sum of its proper divisors (700374711259).

2101020112101 is an equidigital number, since it uses as much as digits as its factorization.

2101020112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668475.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101020112101 its reverse (1012110201012), we get a palindrome (3113130313113).

The spelling of 2101020112101 in words is "two trillion, one hundred one billion, twenty million, one hundred twelve thousand, one hundred one".