101120203030032 has 100 divisors (see below), whose sum is σ = 292677447847356. Its totient is φ = 33706015349760.

The previous prime is 101120203029997. The next prime is 101120203030051. The reversal of 101120203030032 is 230030302021101.

101120203030032 is a `hidden beast` number, since 10 + 1 + 120 + 203 + 0 + 300 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72049946674176 + 29070256355856 = 8488224^2 + 5391684^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101120203029987 and 101120203030014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61764148 + ... + 63380204.

Almost surely, 2^{101120203030032} is an apocalyptic number.

101120203030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120203030032 is an abundant number, since it is smaller than the sum of its proper divisors (191557244817324).

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

101120203030032 is a wasteful number, since it uses less digits than its factorization.

101120203030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664358 (or 1664343 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101120203030032 its reverse (230030302021101), we get a palindrome (331150505051133).

The spelling of 101120203030032 in words is "one hundred one trillion, one hundred twenty billion, two hundred three million, thirty thousand, thirty-two".