210102110122100 has 288 divisors, whose sum is σ = 553996808601600. Its totient is φ = 67557125952000.

The previous prime is 210102110122057. The next prime is 210102110122109. The reversal of 210102110122100 is 1221011201012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210102110122109) 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, 14855547629 + ... + 14855561771.

Almost surely, 2^{210102110122100} is an apocalyptic number.

210102110122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210102110122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276998404300800).

210102110122100 is an abundant number, since it is smaller than the sum of its proper divisors (343894698479500).

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

210102110122100 is a wasteful number, since it uses less digits than its factorization.

210102110122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25343 (or 25336 counting only the distinct ones).

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

Adding to 210102110122100 its reverse (1221011201012), we get a palindrome (211323121323112).

The spelling of 210102110122100 in words is "two hundred ten trillion, one hundred two billion, one hundred ten million, one hundred twenty-two thousand, one hundred".