10201001021012 has 72 divisors (see below), whose sum is σ = 18332493480000. Its totient is φ = 4966666094208.

The previous prime is 10201001020957. The next prime is 10201001021017. The reversal of 10201001021012 is 21012010010201.

It is a junction number, because it is equal to n+sod(n) for n = 10201001020984 and 10201001021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001021017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4859932739 + ... + 4859934837.

It is an arithmetic number, because the mean of its divisors is an integer number (254617965000).

Almost surely, 2^{10201001021012} is an apocalyptic number.

It is an amenable number.

10201001021012 is a deficient number, since it is larger than the sum of its proper divisors (8131492458988).

10201001021012 is a wasteful number, since it uses less digits than its factorization.

10201001021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10201001021012 its reverse (21012010010201), we get a palindrome (31213011031213).

The spelling of 10201001021012 in words is "ten trillion, two hundred one billion, one million, twenty-one thousand, twelve".