100202131012230 has 224 divisors, whose sum is σ = 291483379516896. Its totient is φ = 24643150152192.

The previous prime is 100202131012183. The next prime is 100202131012237. The reversal of 100202131012230 is 32210131202001.

100202131012230 is a `hidden beast` number, since 1 + 0 + 0 + 202 + 1 + 310 + 122 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202131012237) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 105955954 + ... + 106897466.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265087129).

Almost surely, 2^{100202131012230} is an apocalyptic number.

100202131012230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202131012230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145741689758448).

100202131012230 is an abundant number, since it is smaller than the sum of its proper divisors (191281248504666).

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

100202131012230 is a wasteful number, since it uses less digits than its factorization.

100202131012230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942674 (or 942659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100202131012230 its reverse (32210131202001), we get a palindrome (132412262214231).

The spelling of 100202131012230 in words is "one hundred trillion, two hundred two billion, one hundred thirty-one million, twelve thousand, two hundred thirty".