102001101212122 has 48 divisors (see below), whose sum is σ = 181525272785640. Its totient is φ = 42846049139712.

The previous prime is 102001101212119. The next prime is 102001101212159. The reversal of 102001101212122 is 221212101100201.

It can be written as a sum of positive squares in 4 ways, for example, as 89464905870921 + 12536195341201 = 9458589^2 + 3540649^2 .

It is a super-2 number, since 2×102001101212122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001101212096 and 102001101212105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4975747 + ... + 15124822.

Almost surely, 2^{102001101212122} is an apocalyptic number.

102001101212122 is a deficient number, since it is larger than the sum of its proper divisors (79524171573518).

102001101212122 is a wasteful number, since it uses less digits than its factorization.

102001101212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101615 (or 20101608 counting only the distinct ones).

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

Adding to 102001101212122 its reverse (221212101100201), we get a palindrome (323213202312323).

The spelling of 102001101212122 in words is "one hundred two trillion, one billion, one hundred one million, two hundred twelve thousand, one hundred twenty-two".