101011113012 has 24 divisors (see below), whose sum is σ = 243819928800. Its totient is φ = 32509323616.

The previous prime is 101011113001. The next prime is 101011113023. The reversal of 101011113012 is 210311110101.

It is an interprime number because it is at equal distance from previous prime (101011113001) and next prime (101011113023).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145130562 + ... + 145131257.

It is an arithmetic number, because the mean of its divisors is an integer number (10159163700).

Almost surely, 2^101011113012 is an apocalyptic number.

101011113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011113012 is an abundant number, since it is smaller than the sum of its proper divisors (142808815788).

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

101011113012 is a wasteful number, since it uses less digits than its factorization.

101011113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290261855 (or 290261853 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101011113012 its reverse (210311110101), we get a palindrome (311322223113).

The spelling of 101011113012 in words is "one hundred one billion, eleven million, one hundred thirteen thousand, twelve".