110001011020000 has 240 divisors, whose sum is σ = 272663061390720. Its totient is φ = 43668282816000.

The previous prime is 110001011019859. The next prime is 110001011020099. The reversal of 110001011020000 is 20110100011.

It is a super-2 number, since 2×110001011020000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10739134879 + ... + 10739145121.

It is an arithmetic number, because the mean of its divisors is an integer number (1136096089128).

Almost surely, 2^{110001011020000} is an apocalyptic number.

110001011020000 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 110001011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136331530695360).

110001011020000 is an abundant number, since it is smaller than the sum of its proper divisors (162662050370720).

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

110001011020000 is a wasteful number, since it uses less digits than its factorization.

110001011020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14275 (or 14252 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110001011020000 its reverse (20110100011), we get a palindrome (110021121120011).

The spelling of 110001011020000 in words is "one hundred ten trillion, one billion, eleven million, twenty thousand".