100011210121200 has 240 divisors, whose sum is σ = 369761392613376. Its totient is φ = 22633371264000.

The previous prime is 100011210121189. The next prime is 100011210121201. The reversal of 100011210121200 is 2121012110001.

It is a tau number, because it is divible by the number of its divisors (240).

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 (100011210121201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58092672 + ... + 59789471.

Almost surely, 2^{100011210121200} is an apocalyptic number.

100011210121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011210121200 is an abundant number, since it is smaller than the sum of its proper divisors (269750182492176).

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

100011210121200 is a wasteful number, since it uses less digits than its factorization.

100011210121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117882272 (or 117882261 counting only the distinct ones).

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

Adding to 100011210121200 its reverse (2121012110001), we get a palindrome (102132222231201).

The spelling of 100011210121200 in words is "one hundred trillion, eleven billion, two hundred ten million, one hundred twenty-one thousand, two hundred".