10202000011012 has 96 divisors (see below), whose sum is σ = 18661160700000. Its totient is φ = 4874236329984.

The previous prime is 10202000011009. The next prime is 10202000011039. The reversal of 10202000011012 is 21011000020201.

It can be written as a sum of positive squares in 16 ways, for example, as 3333742829316 + 6868257181696 = 1825854^2 + 2620736^2 .

It is a super-3 number, since 3×10202000011012³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10202000011012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3910309164 + ... + 3910311772.

It is an arithmetic number, because the mean of its divisors is an integer number (194387090625).

Almost surely, 2^{10202000011012} is an apocalyptic number.

It is an amenable number.

10202000011012 is a deficient number, since it is larger than the sum of its proper divisors (8459160688988).

10202000011012 is a wasteful number, since it uses less digits than its factorization.

10202000011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10202000011012 its reverse (21011000020201), we get a palindrome (31213000031213).

The spelling of 10202000011012 in words is "ten trillion, two hundred two billion, eleven thousand, twelve".