101210120000121 has 32 divisors (see below), whose sum is σ = 155774187233280. Its totient is φ = 57806827156800.

The previous prime is 101210120000071. The next prime is 101210120000179. The reversal of 101210120000121 is 121000021012101.

It is not a de Polignac number, because 101210120000121 - 2¹⁷ = 101210119869049 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101210120000097 and 101210120000106.

It is not an unprimeable number, because it can be changed into a prime (101210120001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422444770 + ... + 422684283.

It is an arithmetic number, because the mean of its divisors is an integer number (4867943351040).

Almost surely, 2^{101210120000121} is an apocalyptic number.

101210120000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101210120000121 is a deficient number, since it is larger than the sum of its proper divisors (54564067233159).

101210120000121 is a wasteful number, since it uses less digits than its factorization.

101210120000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845129277.

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

Adding to 101210120000121 its reverse (121000021012101), we get a palindrome (222210141012222).

The spelling of 101210120000121 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-one", and thus it is an aban number.