100100211200000 has 624 divisors, whose sum is σ = 275691414620160. Its totient is φ = 36034560000000.

The previous prime is 100100211199993. The next prime is 100100211200051. The reversal of 100100211200000 is 2112001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14220796481 + ... + 14220803519.

Almost surely, 2^{100100211200000} is an apocalyptic number.

100100211200000 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 100100211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137845707310080).

100100211200000 is an abundant number, since it is smaller than the sum of its proper divisors (175591203420160).

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

100100211200000 is an frugal number, since it uses more digits than its factorization.

100100211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100211200000 its reverse (2112001001), we get a palindrome (100102323201001).

The spelling of 100100211200000 in words is "one hundred trillion, one hundred billion, two hundred eleven million, two hundred thousand".