101010001102112 has 48 divisors (see below), whose sum is σ = 201667544671320. Its totient is φ = 49796062052352.

The previous prime is 101010001102099. The next prime is 101010001102247. The reversal of 101010001102112 is 211201100010101.

It can be written as a sum of positive squares in 4 ways, for example, as 96016403049616 + 4993598052496 = 9798796^2 + 2234636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101010001102093 and 101010001102102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49231193 + ... + 51241880.

Almost surely, 2^{101010001102112} is an apocalyptic number.

It is an amenable number.

101010001102112 is a deficient number, since it is larger than the sum of its proper divisors (100657543569208).

101010001102112 is a wasteful number, since it uses less digits than its factorization.

101010001102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100473525 (or 100473517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101010001102112 its reverse (211201100010101), we get a palindrome (312211101112213).

The spelling of 101010001102112 in words is "one hundred one trillion, ten billion, one million, one hundred two thousand, one hundred twelve".