10021101021101 has 16 divisors (see below), whose sum is σ = 10658219951808. Its totient is φ = 9389359161600.

The previous prime is 10021101021097. The next prime is 10021101021181. The reversal of 10021101021101 is 10112010112001.

10021101021101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021101021101 - 2² = 10021101021097 is a prime.

It is a super-2 number, since 2×10021101021101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021101021181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2539511 + ... + 5146971.

It is an arithmetic number, because the mean of its divisors is an integer number (666138746988).

Almost surely, 2^{10021101021101} is an apocalyptic number.

It is an amenable number.

10021101021101 is a deficient number, since it is larger than the sum of its proper divisors (637118930707).

10021101021101 is a wasteful number, since it uses less digits than its factorization.

10021101021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608492.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10021101021101 its reverse (10112010112001), we get a palindrome (20133111133102).

The spelling of 10021101021101 in words is "ten trillion, twenty-one billion, one hundred one million, twenty-one thousand, one hundred one".