101201121102101 has 8 divisors (see below), whose sum is σ = 107163808985880. Its totient is φ = 95239508858368.

The previous prime is 101201121102083. The next prime is 101201121102119.

101201121102101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (101201121102083) and next prime (101201121102119).

It can be written as a sum of positive squares in 4 ways, for example, as 3936672651025 + 97264448451076 = 1984105^2 + 9862274^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201121102101 is a prime.

It is a super-4 number, since 4×101201121102101⁴ (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 (101201121102001) 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, 268716296 + ... + 269092641.

It is an arithmetic number, because the mean of its divisors is an integer number (13395476123235).

Almost surely, 2^{101201121102101} is an apocalyptic number.

It is an amenable number.

101201121102101 is a deficient number, since it is larger than the sum of its proper divisors (5962687883779).

101201121102101 is a wasteful number, since it uses less digits than its factorization.

101201121102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537820023.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 101201121102101 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred one".