211020122100112 has 20 divisors (see below), whose sum is σ = 440301600920860. Its totient is φ = 97393902507648.

The previous prime is 211020122100089. The next prime is 211020122100121. The reversal of 211020122100112 is 211001221020112.

It can be written as a sum of positive squares in 2 ways, for example, as 11806205952256 + 199213916147856 = 3436016^2 + 14114316^2 .

It is a super-2 number, since 2×211020122100112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 507259908687 + ... + 507259909102.

It is an arithmetic number, because the mean of its divisors is an integer number (22015080046043).

Almost surely, 2^{211020122100112} is an apocalyptic number.

It is an amenable number.

211020122100112 is an abundant number, since it is smaller than the sum of its proper divisors (229281478820748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211020122100112 is a wasteful number, since it uses less digits than its factorization.

211020122100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014519817810 (or 1014519817804 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211020122100112 its reverse (211001221020112), we get a palindrome (422021343120224).

The spelling of 211020122100112 in words is "two hundred eleven trillion, twenty billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".