100020200210120 has 64 divisors (see below), whose sum is σ = 228907654560000. Its totient is φ = 39321749726208.

The previous prime is 100020200210087. The next prime is 100020200210153. The reversal of 100020200210120 is 21012002020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100020200210087) and next prime (100020200210153).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6857456 + ... + 15718304.

It is an arithmetic number, because the mean of its divisors is an integer number (3576682102500).

Almost surely, 2^{100020200210120} is an apocalyptic number.

100020200210120 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 100020200210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114453827280000).

100020200210120 is an abundant number, since it is smaller than the sum of its proper divisors (128887454349880).

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

100020200210120 is a wasteful number, since it uses less digits than its factorization.

100020200210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865702 (or 8865698 counting only the distinct ones).

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

Adding to 100020200210120 its reverse (21012002020001), we get a palindrome (121032202230121).

The spelling of 100020200210120 in words is "one hundred trillion, twenty billion, two hundred million, two hundred ten thousand, one hundred twenty".