10012010011080 has 2048 divisors, whose sum is σ = 42301440000000. Its totient is φ = 1871427317760.

The previous prime is 10012010011079. The next prime is 10012010011111. The reversal of 10012010011080 is 8011001021001.

It is a super-2 number, since 2×10012010011080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16714540621 + ... + 16714541219.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000000).

Almost surely, 2^{10012010011080} is an apocalyptic number.

10012010011080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012010011080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720000000).

10012010011080 is an abundant number, since it is smaller than the sum of its proper divisors (32289429988920).

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

10012010011080 is a wasteful number, since it uses less digits than its factorization.

10012010011080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10012010011080 its reverse (8011001021001), we get a palindrome (18023011032081).

The spelling of 10012010011080 in words is "ten trillion, twelve billion, ten million, eleven thousand, eighty".