101352012 has 12 divisors (see below), whose sum is σ = 236488056. Its totient is φ = 33784000.

The previous prime is 101352001. The next prime is 101352019. The reversal of 101352012 is 210253101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×101352012³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101351982 and 101352000.

It is not an unprimeable number, because it can be changed into a prime (101352019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4222989 + ... + 4223012.

It is an arithmetic number, because the mean of its divisors is an integer number (19707338).

Almost surely, 2^101352012 is an apocalyptic number.

101352012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101352012 is an abundant number, since it is smaller than the sum of its proper divisors (135136044).

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

101352012 is a wasteful number, since it uses less digits than its factorization.

101352012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8446008 (or 8446006 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101352012 is about 10067.3736396341. The cubic root of 101352012 is about 466.2413542182.

The spelling of 101352012 in words is "one hundred one million, three hundred fifty-two thousand, twelve".