10001221210101 has 32 divisors (see below), whose sum is σ = 15181898526720. Its totient is φ = 5796976996800.

The previous prime is 10001221210081. The next prime is 10001221210103. The reversal of 10001221210101 is 10101212210001.

It is not a de Polignac number, because 10001221210101 - 2⁶ = 10001221210037 is a prime.

It is a super-2 number, since 2×10001221210101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001221210103) 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, 4363755 + ... + 6248583.

It is an arithmetic number, because the mean of its divisors is an integer number (474434328960).

Almost surely, 2^{10001221210101} is an apocalyptic number.

10001221210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001221210101 is a deficient number, since it is larger than the sum of its proper divisors (5180677316619).

10001221210101 is a wasteful number, since it uses less digits than its factorization.

10001221210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891857.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001221210101 its reverse (10101212210001), we get a palindrome (20102433420102).

It can be divided in two parts, 100012 and 21210101, that multiplied together give a palindrome (2121264621212).

The spelling of 10001221210101 in words is "ten trillion, one billion, two hundred twenty-one million, two hundred ten thousand, one hundred one".