10010611005072 has 20 divisors (see below), whose sum is σ = 25860745096560. Its totient is φ = 3336870335008.

The previous prime is 10010611005071. The next prime is 10010611005127. The reversal of 10010611005072 is 27050011601001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10010611005071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104277197922 + ... + 104277198017.

It is an arithmetic number, because the mean of its divisors is an integer number (1293037254828).

Almost surely, 2^{10010611005072} is an apocalyptic number.

10010611005072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010611005072 is an abundant number, since it is smaller than the sum of its proper divisors (15850134091488).

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

10010611005072 is a wasteful number, since it uses less digits than its factorization.

10010611005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208554395950 (or 208554395944 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 10010611005072 its reverse (27050011601001), we get a palindrome (37060622606073).

The spelling of 10010611005072 in words is "ten trillion, ten billion, six hundred eleven million, five thousand, seventy-two".