100211000011200 has 504 divisors, whose sum is σ = 383633736668000. Its totient is φ = 24663322091520.

The previous prime is 100211000011193. The next prime is 100211000011207. The reversal of 100211000011200 is 2110000112001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100211000011193) and next prime (100211000011207).

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 (100211000011207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1250268726 + ... + 1250348874.

Almost surely, 2^{100211000011200} is an apocalyptic number.

100211000011200 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 100211000011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191816868334000).

100211000011200 is an abundant number, since it is smaller than the sum of its proper divisors (283422736656800).

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

100211000011200 is a wasteful number, since it uses less digits than its factorization.

100211000011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86869 (or 86851 counting only the distinct ones).

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

Adding to 100211000011200 its reverse (2110000112001), we get a palindrome (102321000123201).

The spelling of 100211000011200 in words is "one hundred trillion, two hundred eleven billion, eleven thousand, two hundred".