10001012012212 has 48 divisors (see below), whose sum is σ = 19025433781200. Its totient is φ = 4572579621888.

The previous prime is 10001012012141. The next prime is 10001012012317. The reversal of 10001012012212 is 21221021010001.

It can be written as a sum of positive squares in 8 ways, for example, as 297500430096 + 9703511582116 = 545436^2 + 3115046^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10001012012192 and 10001012012201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159728 + ... + 4620280.

It is an arithmetic number, because the mean of its divisors is an integer number (396363203775).

Almost surely, 2^{10001012012212} is an apocalyptic number.

It is an amenable number.

10001012012212 is a deficient number, since it is larger than the sum of its proper divisors (9024421768988).

10001012012212 is a wasteful number, since it uses less digits than its factorization.

10001012012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461092 (or 3461090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001012012212 its reverse (21221021010001), we get a palindrome (31222033022213).

The spelling of 10001012012212 in words is "ten trillion, one billion, twelve million, twelve thousand, two hundred twelve".