1101012112000 has 128 divisors (see below), whose sum is σ = 2754833262480. Its totient is φ = 437598720000.

The previous prime is 1101012111973. The next prime is 1101012112003. The reversal of 1101012112000 is 2112101011.

It can be written as a sum of positive squares in 8 ways, for example, as 17697513024 + 1083314598976 = 133032^2 + 1040824^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1101012112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292850 + ... + 2731150.

Almost surely, 2^{1101012112000} is an apocalyptic number.

1101012112000 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 1101012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377416631240).

1101012112000 is an abundant number, since it is smaller than the sum of its proper divisors (1653821150480).

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

1101012112000 is an equidigital number, since it uses as much as digits as its factorization.

1101012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438487 (or 438465 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1101012112000 its reverse (2112101011), we get a palindrome (1103124213011).

The spelling of 1101012112000 in words is "one trillion, one hundred one billion, twelve million, one hundred twelve thousand".