101021021011040 has 48 divisors (see below), whose sum is σ = 257020790000688. Its totient is φ = 37300069295616.

The previous prime is 101021021011039. The next prime is 101021021011087. The reversal of 101021021011040 is 40110120120101.

It is a super-3 number, since 3×101021021011040³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24283897202 + ... + 24283901361.

It is an arithmetic number, because the mean of its divisors is an integer number (5354599791681).

Almost surely, 2^{101021021011040} is an apocalyptic number.

101021021011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021021011040 is an abundant number, since it is smaller than the sum of its proper divisors (155999768989648).

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

101021021011040 is a wasteful number, since it uses less digits than its factorization.

101021021011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48567798591 (or 48567798583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021021011040 its reverse (40110120120101), we get a palindrome (141131141131141).

The spelling of 101021021011040 in words is "one hundred one trillion, twenty-one billion, twenty-one million, eleven thousand, forty".