10001201012021 has 32 divisors (see below), whose sum is σ = 10332268277760. Its totient is φ = 9675196372800.

The previous prime is 10001201012003. The next prime is 10001201012051. The reversal of 10001201012021 is 12021010210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001201012021 is a prime.

It is a super-4 number, since 4×10001201012021⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001201011993 and 10001201012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001201012051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569304991 + ... + 1569311363.

It is an arithmetic number, because the mean of its divisors is an integer number (322883383680).

Almost surely, 2^{10001201012021} is an apocalyptic number.

It is an amenable number.

10001201012021 is a deficient number, since it is larger than the sum of its proper divisors (331067265739).

10001201012021 is a wasteful number, since it uses less digits than its factorization.

10001201012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457.

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

Adding to 10001201012021 its reverse (12021010210001), we get a palindrome (22022211222022).

The spelling of 10001201012021 in words is "ten trillion, one billion, two hundred one million, twelve thousand, twenty-one".