101021112221211 has 144 divisors (see below), whose sum is σ = 189080133173568. Its totient is φ = 50581150617600.

The previous prime is 101021112221143. The next prime is 101021112221233. The reversal of 101021112221211 is 112122211120101.

It is a happy number.

101021112221211 is a `hidden beast` number, since 1 + 0 + 10 + 211 + 12 + 221 + 211 = 666.

It is not a de Polignac number, because 101021112221211 - 2¹⁴ = 101021112204827 is a prime.

It is a super-2 number, since 2×101021112221211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101021112221261) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44870871 + ... + 47068431.

It is an arithmetic number, because the mean of its divisors is an integer number (1313056480372).

Almost surely, 2^{101021112221211} is an apocalyptic number.

101021112221211 is a deficient number, since it is larger than the sum of its proper divisors (88059020952357).

101021112221211 is a wasteful number, since it uses less digits than its factorization.

101021112221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197702 (or 2197662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101021112221211 its reverse (112122211120101), we get a palindrome (213143323341312).

The spelling of 101021112221211 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred eleven".