101211201 has 96 divisors (see below), whose sum is σ = 195686400. Its totient is φ = 50808384.

The previous prime is 101211179. The next prime is 101211203. The reversal of 101211201 is 102112101.

It is a happy number.

It is not a de Polignac number, because 101211201 - 2⁹ = 101210689 is a prime.

It is a super-3 number, since 3×101211201³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101211203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508500 + ... + 508698.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 2^101211201 is an apocalyptic number.

It is an amenable number.

101211201 is a deficient number, since it is larger than the sum of its proper divisors (94475199).

101211201 is a wasteful number, since it uses less digits than its factorization.

101211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101211201 is about 10060.3777762070. The cubic root of 101211201 is about 466.0253337121.

Adding to 101211201 its reverse (102112101), we get a palindrome (203323302).

The spelling of 101211201 in words is "one hundred one million, two hundred eleven thousand, two hundred one".