10110220212000 has 192 divisors, whose sum is σ = 35069381028864. Its totient is φ = 2537466982400.

The previous prime is 10110220211977. The next prime is 10110220212023. The reversal of 10110220212000 is 21202201101.

It is an interprime number because it is at equal distance from previous prime (10110220211977) and next prime (10110220212023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24575952 + ... + 24983951.

It is an arithmetic number, because the mean of its divisors is an integer number (182653026192).

Almost surely, 2^{10110220212000} is an apocalyptic number.

10110220212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110220212000 is an abundant number, since it is smaller than the sum of its proper divisors (24959160816864).

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

10110220212000 is a wasteful number, since it uses less digits than its factorization.

10110220212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49559948 (or 49559930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10110220212000 its reverse (21202201101), we get a palindrome (10131422413101).

The spelling of 10110220212000 in words is "ten trillion, one hundred ten billion, two hundred twenty million, two hundred twelve thousand".