210000112202101 has 32 divisors (see below), whose sum is σ = 228077603278560. Its totient is φ = 192203685679104.

The previous prime is 210000112202077. The next prime is 210000112202113. The reversal of 210000112202101 is 101202211000012.

It can be written as a sum of positive squares in 16 ways, for example, as 20600614664100 + 189399497538001 = 4538790^2 + 13762249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210000112202101 is a prime.

It is a super-2 number, since 2×210000112202101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210000112202131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422276905 + ... + 5422315633.

It is an arithmetic number, because the mean of its divisors is an integer number (7127425102455).

Almost surely, 2^{210000112202101} is an apocalyptic number.

It is an amenable number.

210000112202101 is a deficient number, since it is larger than the sum of its proper divisors (18077491076459).

210000112202101 is a wasteful number, since it uses less digits than its factorization.

210000112202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45385.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210000112202101 its reverse (101202211000012), we get a palindrome (311202323202113).

The spelling of 210000112202101 in words is "two hundred ten trillion, one hundred twelve million, two hundred two thousand, one hundred one".