2112202101101 has 8 divisors (see below), whose sum is σ = 2169496095000. Its totient is φ = 2054919025728.

The previous prime is 2112202101073. The next prime is 2112202101151. The reversal of 2112202101101 is 1011012022112.

It can be written as a sum of positive squares in 4 ways, for example, as 1553759757001 + 558442344100 = 1246499^2 + 747290^2 .

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-2112202101101 is a prime.

It is a super-2 number, since 2×2112202101101² (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 (2112202101151) 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, 2336726 + ... + 3112023.

It is an arithmetic number, because the mean of its divisors is an integer number (271187011875).

Almost surely, 2^{2112202101101} is an apocalyptic number.

It is an amenable number.

2112202101101 is a deficient number, since it is larger than the sum of its proper divisors (57293993899).

2112202101101 is a wasteful number, since it uses less digits than its factorization.

2112202101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459263.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112202101101 its reverse (1011012022112), we get a palindrome (3123214123213).

The spelling of 2112202101101 in words is "two trillion, one hundred twelve billion, two hundred two million, one hundred one thousand, one hundred one".