10212112012001 has 48 divisors (see below), whose sum is σ = 11454561518400. Its totient is φ = 9075228978816.

The previous prime is 10212112011991. The next prime is 10212112012087. The reversal of 10212112012001 is 10021021121201.

It is a de Polignac number, because none of the positive numbers 2^k-10212112012001 is a prime.

It is a super-2 number, since 2×10212112012001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212112012901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2132407715 + ... + 2132412503.

It is an arithmetic number, because the mean of its divisors is an integer number (238636698300).

Almost surely, 2^{10212112012001} is an apocalyptic number.

It is an amenable number.

10212112012001 is a deficient number, since it is larger than the sum of its proper divisors (1242449506399).

10212112012001 is a wasteful number, since it uses less digits than its factorization.

10212112012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10212112012001 its reverse (10021021121201), we get a palindrome (20233133133202).

The spelling of 10212112012001 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, twelve thousand, one".