211100120112122 has 8 divisors (see below), whose sum is σ = 316792751169972. Its totient is φ = 105502536388800.

The previous prime is 211100120112107. The next prime is 211100120112137. The reversal of 211100120112122 is 221211021001112.

It is an interprime number because it is at equal distance from previous prime (211100120112107) and next prime (211100120112137).

It can be written as a sum of positive squares in 2 ways, for example, as 197025550023241 + 14074570088881 = 14036579^2 + 3751609^2 .

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

It is a super-2 number, since 2×211100120112122² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211100120112122.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23761828079 + ... + 23761836962.

Almost surely, 2^{211100120112122} is an apocalyptic number.

211100120112122 is a deficient number, since it is larger than the sum of its proper divisors (105692631057850).

211100120112122 is a wasteful number, since it uses less digits than its factorization.

211100120112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47523667264.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211100120112122 its reverse (221211021001112), we get a palindrome (432311141113234).

The spelling of 211100120112122 in words is "two hundred eleven trillion, one hundred billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-two".