101120121101232 has 80 divisors (see below), whose sum is σ = 295171728336000. Its totient is φ = 33135406906176.

The previous prime is 101120121101203. The next prime is 101120121101267. The reversal of 101120121101232 is 232101121021101.

It is a happy number.

101120121101232 is a `hidden beast` number, since 10 + 11 + 201 + 211 + 0 + 1 + 232 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983655482 + ... + 1983706457.

It is an arithmetic number, because the mean of its divisors is an integer number (3689646604200).

Almost surely, 2^{101120121101232} is an apocalyptic number.

101120121101232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120121101232 is an abundant number, since it is smaller than the sum of its proper divisors (194051607234768).

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

101120121101232 is a wasteful number, since it uses less digits than its factorization.

101120121101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967362015 (or 3967362003 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101120121101232 its reverse (232101121021101), we get a palindrome (333221242122333).

The spelling of 101120121101232 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-one million, one hundred one thousand, two hundred thirty-two".