100201202120000 has 560 divisors, whose sum is σ = 278767904215680. Its totient is φ = 35500032000000.

The previous prime is 100201202119987. The next prime is 100201202120009. The reversal of 100201202120000 is 21202102001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201202120009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1950894320 + ... + 1950945680.

Almost surely, 2^{100201202120000} is an apocalyptic number.

100201202120000 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 100201202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139383952107840).

100201202120000 is an abundant number, since it is smaller than the sum of its proper divisors (178566702095680).

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

100201202120000 is a wasteful number, since it uses less digits than its factorization.

100201202120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51580 (or 51555 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201202120000 its reverse (21202102001), we get a palindrome (100222404222001).

The spelling of 100201202120000 in words is "one hundred trillion, two hundred one billion, two hundred two million, one hundred twenty thousand".