100120200010000 has 800 divisors, whose sum is σ = 269922682592640. Its totient is φ = 35792031744000.

The previous prime is 100120200009997. The next prime is 100120200010003. The reversal of 100120200010000 is 10002021001.

It is an interprime number because it is at equal distance from previous prime (100120200009997) and next prime (100120200010003).

It is not an unprimeable number, because it can be changed into a prime (100120200010003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125621329602 + ... + 125621330398.

Almost surely, 2^{100120200010000} is an apocalyptic number.

100120200010000 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 100120200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134961341296320).

100120200010000 is an abundant number, since it is smaller than the sum of its proper divisors (169802482582640).

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

100120200010000 is a wasteful number, since it uses less digits than its factorization.

100120200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100120200010000 its reverse (10002021001), we get a palindrome (100130202031001).

The spelling of 100120200010000 in words is "one hundred trillion, one hundred twenty billion, two hundred million, ten thousand".