100201020120102 has 128 divisors (see below), whose sum is σ = 234981962979840. Its totient is φ = 28164693565440.

The previous prime is 100201020120059. The next prime is 100201020120119. The reversal of 100201020120102 is 201021020102001.

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, 8546398 + ... + 16536110.

It is an arithmetic number, because the mean of its divisors is an integer number (1835796585780).

Almost surely, 2^{100201020120102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201020120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117490981489920).

100201020120102 is an abundant number, since it is smaller than the sum of its proper divisors (134780942859738).

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

100201020120102 is a wasteful number, since it uses less digits than its factorization.

100201020120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989958.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201020120102 its reverse (201021020102001), we get a palindrome (301222040222103).

It can be divided in two parts, 1002010 and 20120102, that added together give a palindrome (21122112).

The spelling of 100201020120102 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred twenty thousand, one hundred two".