102211120010101 has 4 divisors (see below), whose sum is σ = 102211271565804. Its totient is φ = 102210968454400.

The previous prime is 102211120010089. The next prime is 102211120010117. The reversal of 102211120010101 is 101010021112201.

It is a happy number.

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 53366326911076 + 48844793099025 = 7305226^2 + 6988905^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211120010101 - 2²¹ = 102211117912949 is a prime.

It is a super-3 number, since 3×102211120010101³ (a number of 43 digits) contains 333 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 (102211120010201) 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 3 ways as a sum of consecutive naturals, for example, 74761690 + ... + 76116571.

It is an arithmetic number, because the mean of its divisors is an integer number (25552817891451).

Almost surely, 2^{102211120010101} is an apocalyptic number.

It is an amenable number.

102211120010101 is a deficient number, since it is larger than the sum of its proper divisors (151555703).

102211120010101 is an equidigital number, since it uses as much as digits as its factorization.

102211120010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151555702.

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

Adding to 102211120010101 its reverse (101010021112201), we get a palindrome (203221141122302).

The spelling of 102211120010101 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty million, ten thousand, one hundred one".