210200101211100 has 1296 divisors, whose sum is σ = 838321289774304. Its totient is φ = 40276370534400.

The previous prime is 210200101211063. The next prime is 210200101211101. The reversal of 210200101211100 is 1112101002012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210200101211101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 25273544142 + ... + 25273552458.

Almost surely, 2^{210200101211100} is an apocalyptic number.

210200101211100 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 210200101211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419160644887152).

210200101211100 is an abundant number, since it is smaller than the sum of its proper divisors (628121188563204).

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

210200101211100 is a wasteful number, since it uses less digits than its factorization.

210200101211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210200101211100 its reverse (1112101002012), we get a palindrome (211312202213112).

The spelling of 210200101211100 in words is "two hundred ten trillion, two hundred billion, one hundred one million, two hundred eleven thousand, one hundred".