110010001011120 has 240 divisors, whose sum is σ = 423731460290112. Its totient is φ = 25055658270720.

The previous prime is 110010001011109. The next prime is 110010001011143. The reversal of 110010001011120 is 21110100010011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37422517 + ... + 40254996.

Almost surely, 2^{110010001011120} is an apocalyptic number.

110010001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010001011120 is an abundant number, since it is smaller than the sum of its proper divisors (313721459278992).

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

110010001011120 is a wasteful number, since it uses less digits than its factorization.

110010001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77677820 (or 77677811 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010001011120 its reverse (21110100010011), we get a palindrome (131120101021131).

The spelling of 110010001011120 in words is "one hundred ten trillion, ten billion, one million, eleven thousand, one hundred twenty".