2112201010100 has 18 divisors (see below), whose sum is σ = 4583476192134. Its totient is φ = 844880404000.

The previous prime is 2112201010093. The next prime is 2112201010109. The reversal of 2112201010100 is 10101022112.

It can be written as a sum of positive squares in 3 ways, for example, as 628979058724 + 1483221951376 = 793082^2 + 1217876^2 .

It is a super-2 number, since 2×2112201010100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112201010109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10561004951 + ... + 10561005150.

Almost surely, 2^{2112201010100} is an apocalyptic number.

2112201010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112201010100 is an abundant number, since it is smaller than the sum of its proper divisors (2471275182034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112201010100 is a wasteful number, since it uses less digits than its factorization.

2112201010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21122010115 (or 21122010108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2112201010100 its reverse (10101022112), we get a palindrome (2122302032212).

The spelling of 2112201010100 in words is "two trillion, one hundred twelve billion, two hundred one million, ten thousand, one hundred".