100210020010200 has 384 divisors, whose sum is σ = 346231042920000. Its totient is φ = 26640462643200.

The previous prime is 100210020010171. The next prime is 100210020010201. The reversal of 100210020010200 is 2010020012001.

It is a super-2 number, since 2×100210020010200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210020010201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2950721220 + ... + 2950755180.

Almost surely, 2^{100210020010200} is an apocalyptic number.

100210020010200 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 100210020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173115521460000).

100210020010200 is an abundant number, since it is smaller than the sum of its proper divisors (246021022909800).

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

100210020010200 is a wasteful number, since it uses less digits than its factorization.

100210020010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35652 (or 35637 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100210020010200 its reverse (2010020012001), we get a palindrome (102220040022201).

The spelling of 100210020010200 in words is "one hundred trillion, two hundred ten billion, twenty million, ten thousand, two hundred".