121012101210121 has 48 divisors (see below), whose sum is σ = 143809014120912. Its totient is φ = 101375983779840.

The previous prime is 121012101210107. The next prime is 121012101210127.

121012101210121 is nontrivially palindromic in base 10.

121012101210121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 16102475558521 + 104909625651600 = 4012789^2 + 10242540^2 .

It is not a de Polignac number, because 121012101210121 - 2²⁷ = 121011966992393 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

121012101210121 is a modest number, since divided by 12101210121 gives 121 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 121012101210095 and 121012101210104.

It is not an unprimeable number, because it can be changed into a prime (121012101210127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17630881 + ... + 23513233.

It is an arithmetic number, because the mean of its divisors is an integer number (2996021127519).

Almost surely, 2^{121012101210121} is an apocalyptic number.

121012101210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121012101210121 is a deficient number, since it is larger than the sum of its proper divisors (22796912910791).

121012101210121 is a wasteful number, since it uses less digits than its factorization.

121012101210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882602 (or 5882591 counting only the distinct ones).

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

It can be divided in two parts, 12101210 and 1210121, that added together give a palindrome (13311331).

The spelling of 121012101210121 in words is "one hundred twenty-one trillion, twelve billion, one hundred one million, two hundred ten thousand, one hundred twenty-one".