100202200120 has 256 divisors, whose sum is σ = 260340480000. Its totient is φ = 34373713920.

The previous prime is 100202200099. The next prime is 100202200187. The reversal of 100202200120 is 21002202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100202200097 and 100202200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107859816 + ... + 107860744.

It is an arithmetic number, because the mean of its divisors is an integer number (1016955000).

Almost surely, 2^100202200120 is an apocalyptic number.

100202200120 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 100202200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240000).

100202200120 is an abundant number, since it is smaller than the sum of its proper divisors (160138279880).

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

100202200120 is a wasteful number, since it uses less digits than its factorization.

100202200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202200120 its reverse (21002202001), we get a palindrome (121204402121).

The spelling of 100202200120 in words is "one hundred billion, two hundred two million, two hundred thousand, one hundred twenty".