11010102123000 has 256 divisors, whose sum is σ = 34668774541440. Its totient is φ = 2909018112000.

The previous prime is 11010102122959. The next prime is 11010102123001. The reversal of 11010102123000 is 32120101011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010102123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166229890 + ... + 166296110.

Almost surely, 2^{11010102123000} is an apocalyptic number.

11010102123000 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 11010102123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334387270720).

11010102123000 is an abundant number, since it is smaller than the sum of its proper divisors (23658672418440).

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

11010102123000 is a wasteful number, since it uses less digits than its factorization.

11010102123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66755 (or 66741 counting only the distinct ones).

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

Adding to 11010102123000 its reverse (32120101011), we get a palindrome (11042222224011).

The spelling of 11010102123000 in words is "eleven trillion, ten billion, one hundred two million, one hundred twenty-three thousand".