100102102011112 has 16 divisors (see below), whose sum is σ = 187713162432900. Its totient is φ = 50045258695680.

The previous prime is 100102102011103. The next prime is 100102102011157. The reversal of 100102102011112 is 211110201201001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98466603765156 + 1635498245956 = 9923034^2 + 1278866^2 .

It is a super-2 number, since 2×100102102011112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102102011092 and 100102102011101.

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, 723965287 + ... + 724103542.

Almost surely, 2^{100102102011112} is an apocalyptic number.

It is an amenable number.

100102102011112 is a deficient number, since it is larger than the sum of its proper divisors (87611060421788).

100102102011112 is a wasteful number, since it uses less digits than its factorization.

100102102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448077476 (or 1448077472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100102102011112 its reverse (211110201201001), we get a palindrome (311212303212113).

The spelling of 100102102011112 in words is "one hundred trillion, one hundred two billion, one hundred two million, eleven thousand, one hundred twelve".