100210210200020 has 144 divisors (see below), whose sum is σ = 229782127682352. Its totient is φ = 36675912499200.

The previous prime is 100210210200011. The next prime is 100210210200029. The reversal of 100210210200020 is 20002012012001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100210210200011) and next prime (100210210200029).

It can be written as a sum of positive squares in 24 ways, for example, as 77113477719184 + 23096732480836 = 8781428^2 + 4805906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210210199974 and 100210210200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210210200029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256650782 + ... + 257040938.

Almost surely, 2^{100210210200020} is an apocalyptic number.

100210210200020 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 100210210200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114891063841176).

100210210200020 is an abundant number, since it is smaller than the sum of its proper divisors (129571917482332).

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

100210210200020 is a wasteful number, since it uses less digits than its factorization.

100210210200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391438 (or 391419 counting only the distinct ones).

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

Adding to 100210210200020 its reverse (20002012012001), we get a palindrome (120212222212021).

The spelling of 100210210200020 in words is "one hundred trillion, two hundred ten billion, two hundred ten million, two hundred thousand, twenty".