101220010100121 has 16 divisors (see below), whose sum is σ = 147229860354048. Its totient is φ = 61345146186000.

The previous prime is 101220010100117. The next prime is 101220010100129. The reversal of 101220010100121 is 121001010022101.

It is not a de Polignac number, because 101220010100121 - 2² = 101220010100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220010100097 and 101220010100106.

It is not an unprimeable number, because it can be changed into a prime (101220010100129) 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, 1244061 + ... + 14282426.

It is an arithmetic number, because the mean of its divisors is an integer number (9201866272128).

Almost surely, 2^{101220010100121} is an apocalyptic number.

101220010100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101220010100121 is a deficient number, since it is larger than the sum of its proper divisors (46009850253927).

101220010100121 is a wasteful number, since it uses less digits than its factorization.

101220010100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15724052.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101220010100121 its reverse (121001010022101), we get a palindrome (222221020122222).

The spelling of 101220010100121 in words is "one hundred one trillion, two hundred twenty billion, ten million, one hundred thousand, one hundred twenty-one".