10122001022101 has 8 divisors (see below), whose sum is σ = 10359427083104. Its totient is φ = 9884667265200.

The previous prime is 10122001022047. The next prime is 10122001022113. The reversal of 10122001022101 is 10122010022101.

10122001022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122001022101 - 2²¹ = 10121998924949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122001022801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22854111 + ... + 23292796.

It is an arithmetic number, because the mean of its divisors is an integer number (1294928385388).

Almost surely, 2^{10122001022101} is an apocalyptic number.

It is an amenable number.

10122001022101 is a deficient number, since it is larger than the sum of its proper divisors (237426061003).

10122001022101 is an equidigital number, since it uses as much as digits as its factorization.

10122001022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46152051.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122001022101 its reverse (10122010022101), we get a palindrome (20244011044202).

Subtracting 10122001022101 from its reverse (10122010022101), we obtain a square (9000000 = 3000²).

The spelling of 10122001022101 in words is "ten trillion, one hundred twenty-two billion, one million, twenty-two thousand, one hundred one".