101032123212 has 72 divisors (see below), whose sum is σ = 259803507600. Its totient is φ = 33095334528.

The previous prime is 101032123201. The next prime is 101032123243. The reversal of 101032123212 is 212321230101.

101032123212 is a `hidden beast` number, since 10 + 10 + 321 + 2 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8228614 + ... + 8240882.

It is an arithmetic number, because the mean of its divisors is an integer number (3608382050).

Almost surely, 2^101032123212 is an apocalyptic number.

101032123212 is a gapful number since it is divisible by the number (12) 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 101032123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129901753800).

101032123212 is an abundant number, since it is smaller than the sum of its proper divisors (158771384388).

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

101032123212 is a wasteful number, since it uses less digits than its factorization.

101032123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16215 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101032123212 its reverse (212321230101), we get a palindrome (313353353313).

The spelling of 101032123212 in words is "one hundred one billion, thirty-two million, one hundred twenty-three thousand, two hundred twelve".