10000122010101 has 40 divisors (see below), whose sum is σ = 15423371673600. Its totient is φ = 6450422986080.

The previous prime is 10000122010057. The next prime is 10000122010103. The reversal of 10000122010101 is 10101022100001.

It is a happy number.

10000122010101 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 10000122010101 - 2¹⁵ = 10000121977333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122010103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12464815 + ... + 13242803.

It is an arithmetic number, because the mean of its divisors is an integer number (385584291840).

Almost surely, 2^{10000122010101} is an apocalyptic number.

It is an amenable number.

10000122010101 is a deficient number, since it is larger than the sum of its proper divisors (5423249663499).

10000122010101 is an equidigital number, since it uses as much as digits as its factorization.

10000122010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783151 (or 783142 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000122010101 its reverse (10101022100001), we get a palindrome (20101144110102).

The spelling of 10000122010101 in words is "ten trillion, one hundred twenty-two million, ten thousand, one hundred one".