210102001010100 has 108 divisors (see below), whose sum is σ = 658625151024204. Its totient is φ = 56021066173440.

The previous prime is 210102001010039. The next prime is 210102001010101. The reversal of 210102001010100 is 1010100201012.

It is a happy number.

210102001010100 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 6 ways, for example, as 111123896907024 + 98978104103076 = 10541532^2 + 9948774^2 .

It is a super-2 number, since 2×210102001010100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210102001010101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4551499 + ... + 20998098.

Almost surely, 2^{210102001010100} is an apocalyptic number.

210102001010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102001010100 is an abundant number, since it is smaller than the sum of its proper divisors (448523150014104).

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

210102001010100 is a wasteful number, since it uses less digits than its factorization.

210102001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25558754 (or 25558744 counting only the distinct ones).

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

Adding to 210102001010100 its reverse (1010100201012), we get a palindrome (211112101211112).

The spelling of 210102001010100 in words is "two hundred ten trillion, one hundred two billion, one million, ten thousand, one hundred".