10221002101012 has 48 divisors (see below), whose sum is σ = 18329931840528. Its totient is φ = 4985421880320.

The previous prime is 10221002100977. The next prime is 10221002101033. The reversal of 10221002101012 is 21010120012201.

It can be written as a sum of positive squares in 8 ways, for example, as 182154825616 + 10038847275396 = 426796^2 + 3168414^2 .

It is a super-3 number, since 3×10221002101012³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221002100983 and 10221002101001.

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, 14902168 + ... + 15572944.

It is an arithmetic number, because the mean of its divisors is an integer number (381873580011).

Almost surely, 2^{10221002101012} is an apocalyptic number.

It is an amenable number.

10221002101012 is a deficient number, since it is larger than the sum of its proper divisors (8108929739516).

10221002101012 is a wasteful number, since it uses less digits than its factorization.

10221002101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671356 (or 671354 counting only the distinct ones).

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

Adding to 10221002101012 its reverse (21010120012201), we get a palindrome (31231122113213).

The spelling of 10221002101012 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred one thousand, twelve".