1211002122121 has 12 divisors (see below), whose sum is σ = 1344280742532. Its totient is φ = 1090010900000.

The previous prime is 1211002122119. The next prime is 1211002122221. The reversal of 1211002122121 is 1212212001121.

It can be written as a sum of positive squares in 2 ways, for example, as 1190741446521 + 20260675600 = 1091211^2 + 142340^2 .

It is not a de Polignac number, because 1211002122121 - 2¹ = 1211002122119 is a prime.

It is a super-2 number, since 2×1211002122121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1211002122095 and 1211002122104.

It is not an unprimeable number, because it can be changed into a prime (1211002122221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49533730 + ... + 49558171.

It is an arithmetic number, because the mean of its divisors is an integer number (112023395211).

Almost surely, 2^{1211002122121} is an apocalyptic number.

1211002122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211002122121 is a deficient number, since it is larger than the sum of its proper divisors (133278620411).

1211002122121 is a wasteful number, since it uses less digits than its factorization.

1211002122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99092024 (or 99092013 counting only the distinct ones).

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

Adding to 1211002122121 its reverse (1212212001121), we get a palindrome (2423214123242).

The spelling of 1211002122121 in words is "one trillion, two hundred eleven billion, two million, one hundred twenty-two thousand, one hundred twenty-one".