10100200220121 has 96 divisors (see below), whose sum is σ = 15676271387136. Its totient is φ = 5735457280000.

The previous prime is 10100200220107. The next prime is 10100200220147. The reversal of 10100200220121 is 12102200200101.

It is not a de Polignac number, because 10100200220121 - 2¹⁸ = 10100199957977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100200220097 and 10100200220106.

It is not an unprimeable number, because it can be changed into a prime (10100200220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2153099386 + ... + 2153104076.

It is an arithmetic number, because the mean of its divisors is an integer number (163294493616).

Almost surely, 2^{10100200220121} is an apocalyptic number.

10100200220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100200220121 is a deficient number, since it is larger than the sum of its proper divisors (5576071167015).

10100200220121 is a wasteful number, since it uses less digits than its factorization.

10100200220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100200220121 its reverse (12102200200101), we get a palindrome (22202400420222).

The spelling of 10100200220121 in words is "ten trillion, one hundred billion, two hundred million, two hundred twenty thousand, one hundred twenty-one".