101211110111021 has 16 divisors (see below), whose sum is σ = 113480431263360. Its totient is φ = 89703578903040.

The previous prime is 101211110110973. The next prime is 101211110111057. The reversal of 101211110111021 is 120111011112101.

It is a cyclic number.

It is not a de Polignac number, because 101211110111021 - 2¹⁴ = 101211110094637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211110110987 and 101211110111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211119111021) 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, 938111000 + ... + 938218881.

It is an arithmetic number, because the mean of its divisors is an integer number (7092526953960).

Almost surely, 2^{101211110111021} is an apocalyptic number.

It is an amenable number.

101211110111021 is a deficient number, since it is larger than the sum of its proper divisors (12269321152339).

101211110111021 is a wasteful number, since it uses less digits than its factorization.

101211110111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876330084.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101211110111021 its reverse (120111011112101), we get a palindrome (221322121223122).

The spelling of 101211110111021 in words is "one hundred one trillion, two hundred eleven billion, one hundred ten million, one hundred eleven thousand, twenty-one".