211917561121 has 16 divisors (see below), whose sum is σ = 243079584768. Its totient is φ = 180978624000.

The previous prime is 211917561101. The next prime is 211917561133. The reversal of 211917561121 is 121165719112.

It is a cyclic number.

It is not a de Polignac number, because 211917561121 - 2⁷ = 211917560993 is a prime.

It is a super-2 number, since 2×211917561121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211917561101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2378701 + ... + 2466181.

It is an arithmetic number, because the mean of its divisors is an integer number (15192474048).

Almost surely, 2^211917561121 is an apocalyptic number.

It is an amenable number.

211917561121 is a deficient number, since it is larger than the sum of its proper divisors (31162023647).

211917561121 is an equidigital number, since it uses as much as digits as its factorization.

211917561121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88752.

The product of its digits is 7560, while the sum is 37.

The spelling of 211917561121 in words is "two hundred eleven billion, nine hundred seventeen million, five hundred sixty-one thousand, one hundred twenty-one".