100100121202200 has 1536 divisors, whose sum is σ = 373900640256000. Its totient is φ = 21683618611200.

The previous prime is 100100121202187. The next prime is 100100121202229. The reversal of 100100121202200 is 2202121001001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 297033000432 + ... + 297033000768.

It is an arithmetic number, because the mean of its divisors is an integer number (243424896000).

Almost surely, 2^{100100121202200} is an apocalyptic number.

100100121202200 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 100100121202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186950320128000).

100100121202200 is an abundant number, since it is smaller than the sum of its proper divisors (273800519053800).

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

100100121202200 is a wasteful number, since it uses less digits than its factorization.

100100121202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100100121202200 its reverse (2202121001001), we get a palindrome (102302242203201).

The spelling of 100100121202200 in words is "one hundred trillion, one hundred billion, one hundred twenty-one million, two hundred two thousand, two hundred".