102120012011122 has 24 divisors (see below), whose sum is σ = 188670706467804. Its totient is φ = 41191265348352.

The previous prime is 102120012011107. The next prime is 102120012011153. The reversal of 102120012011122 is 221110210021201.

It can be written as a sum of positive squares in 2 ways, for example, as 100434691367521 + 1685320643601 = 10021711^2 + 1298199^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102120012011096 and 102120012011105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30648261243 + ... + 30648264574.

Almost surely, 2^{102120012011122} is an apocalyptic number.

102120012011122 is a deficient number, since it is larger than the sum of its proper divisors (86550694456682).

102120012011122 is a wasteful number, since it uses less digits than its factorization.

102120012011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61296525850 (or 61296525843 counting only the distinct ones).

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

Adding to 102120012011122 its reverse (221110210021201), we get a palindrome (323230222032323).

The spelling of 102120012011122 in words is "one hundred two trillion, one hundred twenty billion, twelve million, eleven thousand, one hundred twenty-two".