101112120312000 has 896 divisors, whose sum is σ = 398655651483648. Its totient is φ = 22078881792000.

The previous prime is 101112120311981. The next prime is 101112120312131. The reversal of 101112120312000 is 213021211101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3172328064 + ... + 3172359936.

Almost surely, 2^{101112120312000} is an apocalyptic number.

101112120312000 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 101112120312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199327825741824).

101112120312000 is an abundant number, since it is smaller than the sum of its proper divisors (297543531171648).

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

101112120312000 is a wasteful number, since it uses less digits than its factorization.

101112120312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32754 (or 32734 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101112120312000 its reverse (213021211101), we get a palindrome (101325141523101).

The spelling of 101112120312000 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, three hundred twelve thousand".