110101112121000 has 2048 divisors, whose sum is σ = 478427819950080. Its totient is φ = 20342016000000.

The previous prime is 110101112120981. The next prime is 110101112121017. The reversal of 110101112121000 is 121211101011.

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

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, 11222206095 + ... + 11222215905.

It is an arithmetic number, because the mean of its divisors is an integer number (233607333960).

Almost surely, 2^{110101112121000} is an apocalyptic number.

110101112121000 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 110101112121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239213909975040).

110101112121000 is an abundant number, since it is smaller than the sum of its proper divisors (368326707829080).

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

110101112121000 is a wasteful number, since it uses less digits than its factorization.

110101112121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110101112121000 its reverse (121211101011), we get a palindrome (110222323222011).

The spelling of 110101112121000 in words is "one hundred ten trillion, one hundred one billion, one hundred twelve million, one hundred twenty-one thousand".