101012022110101 has 8 divisors (see below), whose sum is σ = 101089976606424. Its totient is φ = 100934078027520.

The previous prime is 101012022110089. The next prime is 101012022110113. The reversal of 101012022110101 is 101011220210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012022110089) and next prime (101012022110113).

It can be written as a sum of positive squares in 4 ways, for example, as 70602863307601 + 30409158802500 = 8402551^2 + 5514450^2 .

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 101012022110101 - 2²⁷ = 101011887892373 is a prime.

It is a super-4 number, since 4×101012022110101⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012022110161) 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, 16859911 + ... + 22051771.

It is an arithmetic number, because the mean of its divisors is an integer number (12636247075803).

Almost surely, 2^{101012022110101} is an apocalyptic number.

It is an amenable number.

101012022110101 is a deficient number, since it is larger than the sum of its proper divisors (77954496323).

101012022110101 is a wasteful number, since it uses less digits than its factorization.

101012022110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206871.

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

Adding to 101012022110101 its reverse (101011220210101), we get a palindrome (202023242320202).

The spelling of 101012022110101 in words is "one hundred one trillion, twelve billion, twenty-two million, one hundred ten thousand, one hundred one".