101211001121211 has 16 divisors (see below), whose sum is σ = 136971419633664. Its totient is φ = 66462427985184.

The previous prime is 101211001121177. The next prime is 101211001121231. The reversal of 101211001121211 is 112121100112101.

It is not a de Polignac number, because 101211001121211 - 2³³ = 101202411186619 is a prime.

It is a super-2 number, since 2×101211001121211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211001121231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14059576 + ... + 20002341.

It is an arithmetic number, because the mean of its divisors is an integer number (8560713727104).

Almost surely, 2^{101211001121211} is an apocalyptic number.

101211001121211 is a deficient number, since it is larger than the sum of its proper divisors (35760418512453).

101211001121211 is a wasteful number, since it uses less digits than its factorization.

101211001121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34076770.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101211001121211 its reverse (112121100112101), we get a palindrome (213332101233312).

The spelling of 101211001121211 in words is "one hundred one trillion, two hundred eleven billion, one million, one hundred twenty-one thousand, two hundred eleven".