100201012112032 has 144 divisors (see below), whose sum is σ = 221968887439320. Its totient is φ = 44209757491200.

The previous prime is 100201012112011. The next prime is 100201012112057. The reversal of 100201012112032 is 230211210102001.

It can be written as a sum of positive squares in 12 ways, for example, as 77901877049616 + 22299135062416 = 8826204^2 + 4722196^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100201012111997 and 100201012112015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122657758 + ... + 123471970.

Almost surely, 2^{100201012112032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201012112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110984443719660).

100201012112032 is an abundant number, since it is smaller than the sum of its proper divisors (121767875327288).

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

100201012112032 is a wasteful number, since it uses less digits than its factorization.

100201012112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814467 (or 814358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100201012112032 its reverse (230211210102001), we get a palindrome (330412222214033).

The spelling of 100201012112032 in words is "one hundred trillion, two hundred one billion, twelve million, one hundred twelve thousand, thirty-two".