101212033 has 16 divisors (see below), whose sum is σ = 117600336. Its totient is φ = 86261760.

The previous prime is 101212019. The next prime is 101212037. The reversal of 101212033 is 330212101.

It can be written as a sum of positive squares in 8 ways, for example, as 5817744 + 95394289 = 2412^2 + 9767^2 .

It is not a de Polignac number, because 101212033 - 2⁹ = 101211521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7393 + ... + 16033.

It is an arithmetic number, because the mean of its divisors is an integer number (7350021).

Almost surely, 2^101212033 is an apocalyptic number.

101212033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101212033 is a deficient number, since it is larger than the sum of its proper divisors (16388303).

101212033 is a wasteful number, since it uses less digits than its factorization.

101212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101212033 is about 10060.4191264579. The cubic root of 101212033 is about 466.0266106854.

Adding to 101212033 its reverse (330212101), we get a palindrome (431424134).

The spelling of 101212033 in words is "one hundred one million, two hundred twelve thousand, thirty-three".