100201011023232 has 512 divisors, whose sum is σ = 339691561574400. Its totient is φ = 28484096256000.

The previous prime is 100201011023171. The next prime is 100201011023293. The reversal of 100201011023232 is 232320110102001.

100201011023232 is a `hidden beast` number, since 100 + 201 + 0 + 110 + 23 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (100201011023171) and next prime (100201011023293).

It is a super-2 number, since 2×100201011023232² (a number of 29 digits) contains 22 as substring.

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

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, 5968956343 + ... + 5968973129.

It is an arithmetic number, because the mean of its divisors is an integer number (663460081200).

Almost surely, 2^{100201011023232} is an apocalyptic number.

100201011023232 is a gapful number since it is divisible by the number (12) 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 100201011023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169845780787200).

100201011023232 is an abundant number, since it is smaller than the sum of its proper divisors (239490550551168).

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

100201011023232 is a wasteful number, since it uses less digits than its factorization.

100201011023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18051 (or 18033 counting only the distinct ones).

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

Adding to 100201011023232 its reverse (232320110102001), we get a palindrome (332521121125233).

The spelling of 100201011023232 in words is "one hundred trillion, two hundred one billion, eleven million, twenty-three thousand, two hundred thirty-two".