100020212011200 has 504 divisors, whose sum is σ = 372970510057488. Its totient is φ = 23324546211840.

The previous prime is 100020212011199. The next prime is 100020212011211. The reversal of 100020212011200 is 2110212020001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20306334 + ... + 24746466.

Almost surely, 2^{100020212011200} is an apocalyptic number.

100020212011200 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 100020212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186485255028744).

100020212011200 is an abundant number, since it is smaller than the sum of its proper divisors (272950298046288).

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

100020212011200 is a wasteful number, since it uses less digits than its factorization.

100020212011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440209 (or 4440175 counting only the distinct ones).

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

Adding to 100020212011200 its reverse (2110212020001), we get a palindrome (102130424031201).

The spelling of 100020212011200 in words is "one hundred trillion, twenty billion, two hundred twelve million, eleven thousand, two hundred".