100210121200 has 120 divisors (see below), whose sum is σ = 275616921888. Its totient is φ = 34299248640.

The previous prime is 100210121197. The next prime is 100210121203. The reversal of 100210121200 is 2121012001.

It is an interprime number because it is at equal distance from previous prime (100210121197) and next prime (100210121203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630224 + ... + 1690576.

Almost surely, 2^100210121200 is an apocalyptic number.

100210121200 is a gapful number since it is divisible by the number (10) 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 100210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137808460944).

100210121200 is an abundant number, since it is smaller than the sum of its proper divisors (175406800688).

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

100210121200 is a wasteful number, since it uses less digits than its factorization.

100210121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60971 (or 60960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210121200 its reverse (2121012001), we get a palindrome (102331133201).

The spelling of 100210121200 in words is "one hundred billion, two hundred ten million, one hundred twenty-one thousand, two hundred".