10010110100121 has 16 divisors (see below), whose sum is σ = 15341164905600. Its totient is φ = 6443289259344.

The previous prime is 10010110100101. The next prime is 10010110100131. The reversal of 10010110100121 is 12100101101001.

It is not a de Polignac number, because 10010110100121 - 2¹⁰ = 10010110099097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10010110100101) 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, 6392151261 + ... + 6392152826.

It is an arithmetic number, because the mean of its divisors is an integer number (958822806600).

Almost surely, 2^{10010110100121} is an apocalyptic number.

It is an amenable number.

10010110100121 is a deficient number, since it is larger than the sum of its proper divisors (5331054805479).

10010110100121 is a wasteful number, since it uses less digits than its factorization.

10010110100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784304125 (or 12784304119 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010110100121 its reverse (12100101101001), we get a palindrome (22110211201122).

The spelling of 10010110100121 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, one hundred twenty-one".