210120000100011 has 96 divisors (see below), whose sum is σ = 327039534581760. Its totient is φ = 129527602993152.

The previous prime is 210120000100007. The next prime is 210120000100033. The reversal of 210120000100011 is 110001000021012.

It is a happy number.

It is not a de Polignac number, because 210120000100011 - 2² = 210120000100007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210120000099966 and 210120000100002.

It is not an unprimeable number, because it can be changed into a prime (210120000100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2806914495 + ... + 2806989351.

It is an arithmetic number, because the mean of its divisors is an integer number (3406661818560).

Almost surely, 2^{210120000100011} is an apocalyptic number.

210120000100011 is a deficient number, since it is larger than the sum of its proper divisors (116919534481749).

210120000100011 is a wasteful number, since it uses less digits than its factorization.

210120000100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76105 (or 76102 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210120000100011 its reverse (110001000021012), we get a palindrome (320121000121023).

The spelling of 210120000100011 in words is "two hundred ten trillion, one hundred twenty billion, one hundred thousand, eleven".