100202022120200 has 1536 divisors, whose sum is σ = 341707409326080. Its totient is φ = 26307832320000.

The previous prime is 100202022120149. The next prime is 100202022120203. The reversal of 100202022120200 is 2021220202001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100202022120203) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10134719657 + ... + 10134729543.

It is an arithmetic number, because the mean of its divisors is an integer number (222465761280).

Almost surely, 2^{100202022120200} is an apocalyptic number.

100202022120200 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 100202022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170853704663040).

100202022120200 is an abundant number, since it is smaller than the sum of its proper divisors (241505387205880).

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

100202022120200 is a wasteful number, since it uses less digits than its factorization.

100202022120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10059 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100202022120200 its reverse (2021220202001), we get a palindrome (102223242322201).

The spelling of 100202022120200 in words is "one hundred trillion, two hundred two billion, twenty-two million, one hundred twenty thousand, two hundred".