201100121102120 has 32 divisors (see below), whose sum is σ = 479091464980200. Its totient is φ = 75708280885248.

The previous prime is 201100121102119. The next prime is 201100121102123. The reversal of 201100121102120 is 21201121001102.

It can be written as a sum of positive squares in 4 ways, for example, as 190509613560484 + 10590507541636 = 13802522^2 + 3254306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201100121102095 and 201100121102104.

It is not an unprimeable number, because it can be changed into a prime (201100121102123) 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, 147867735425 + ... + 147867736784.

Almost surely, 2^{201100121102120} is an apocalyptic number.

201100121102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100121102120 is an abundant number, since it is smaller than the sum of its proper divisors (277991343878080).

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

201100121102120 is a wasteful number, since it uses less digits than its factorization.

201100121102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295735472237 (or 295735472233 counting only the distinct ones).

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

Adding to 201100121102120 its reverse (21201121001102), we get a palindrome (222301242103222).

The spelling of 201100121102120 in words is "two hundred one trillion, one hundred billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".