12010101102000 has 240 divisors, whose sum is σ = 42839778114432. Its totient is φ = 3134550988800.

The previous prime is 12010101101981. The next prime is 12010101102001. The reversal of 12010101102000 is 20110101021.

It is a happy number.

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

It is a super-2 number, since 2×12010101102000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12010101102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6252169 + ... + 7944168.

Almost surely, 2^{12010101102000} is an apocalyptic number.

12010101102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010101102000 is an abundant number, since it is smaller than the sum of its proper divisors (30829677012432).

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

12010101102000 is a wasteful number, since it uses less digits than its factorization.

12010101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196413 (or 14196394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010101102000 its reverse (20110101021), we get a palindrome (12030211203021).

The spelling of 12010101102000 in words is "twelve trillion, ten billion, one hundred one million, one hundred two thousand".