101032441414020 has 144 divisors (see below), whose sum is σ = 324524458177920. Its totient is φ = 25354658915328.

The previous prime is 101032441413887. The next prime is 101032441414033. The reversal of 101032441414020 is 20414144230101.

101032441414020 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 244 + 1 + 414 + 0 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29474401 + ... + 32723159.

It is an arithmetic number, because the mean of its divisors is an integer number (2253642070680).

Almost surely, 2^{101032441414020} is an apocalyptic number.

101032441414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032441414020 is an abundant number, since it is smaller than the sum of its proper divisors (223492016763900).

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

101032441414020 is a wasteful number, since it uses less digits than its factorization.

101032441414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258954 (or 3258949 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101032441414020 its reverse (20414144230101), we get a palindrome (121446585644121).

The spelling of 101032441414020 in words is "one hundred one trillion, thirty-two billion, four hundred forty-one million, four hundred fourteen thousand, twenty".