101111000012000 has 96 divisors (see below), whose sum is σ = 271014247786464. Its totient is φ = 36767636352000.

The previous prime is 101111000011999. The next prime is 101111000012023. The reversal of 101111000012000 is 210000111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148944637 + ... + 1149032636.

It is an arithmetic number, because the mean of its divisors is an integer number (2823065081109).

Almost surely, 2^{101111000012000} is an apocalyptic number.

101111000012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111000012000 is an abundant number, since it is smaller than the sum of its proper divisors (169903247774464).

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

101111000012000 is a wasteful number, since it uses less digits than its factorization.

101111000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297977309 (or 2297977291 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101111000012000 its reverse (210000111101), we get a palindrome (101321000123101).

The spelling of 101111000012000 in words is "one hundred one trillion, one hundred eleven billion, twelve thousand".