211220021101 has 8 divisors (see below), whose sum is σ = 215324893944. Its totient is φ = 207119577600.

The previous prime is 211220020993. The next prime is 211220021197. The reversal of 211220021101 is 101120022112.

It can be written as a sum of positive squares in 4 ways, for example, as 970260201 + 210249760900 = 31149^2 + 458530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211220021101 - 2¹⁵ = 211219988333 is a prime.

It is a super-2 number, since 2×211220021101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220021501) 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 7 ways as a sum of consecutive naturals, for example, 1010956 + ... + 1201861.

It is an arithmetic number, because the mean of its divisors is an integer number (26915611743).

Almost surely, 2^211220021101 is an apocalyptic number.

It is an amenable number.

211220021101 is a deficient number, since it is larger than the sum of its proper divisors (4104872843).

211220021101 is a wasteful number, since it uses less digits than its factorization.

211220021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214671.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211220021101 its reverse (101120022112), we get a palindrome (312340043213).

The spelling of 211220021101 in words is "two hundred eleven billion, two hundred twenty million, twenty-one thousand, one hundred one".