210102001102100 has 72 divisors (see below), whose sum is σ = 484458182801208. Its totient is φ = 78815738982400.

The previous prime is 210102001102087. The next prime is 210102001102121. The reversal of 210102001102100 is 1201100201012.

210102001102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 17087607968656 + 193014393133444 = 4133716^2 + 13892962^2 .

It is a super-2 number, since 2×210102001102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219432287 + ... + 220387686.

It is an arithmetic number, because the mean of its divisors is an integer number (6728585872239).

Almost surely, 2^{210102001102100} is an apocalyptic number.

210102001102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102001102100 is an abundant number, since it is smaller than the sum of its proper divisors (274356181699108).

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

210102001102100 is a wasteful number, since it uses less digits than its factorization.

210102001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439820285 (or 439820278 counting only the distinct ones).

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

Adding to 210102001102100 its reverse (1201100201012), we get a palindrome (211303101303112).

The spelling of 210102001102100 in words is "two hundred ten trillion, one hundred two billion, one million, one hundred two thousand, one hundred".