121122100021013 has 16 divisors (see below), whose sum is σ = 156919319867520. Its totient is φ = 90789035063616.

The previous prime is 121122100020931. The next prime is 121122100021037. The reversal of 121122100021013 is 310120001221121.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121122100021013 is a prime.

It is a super-2 number, since 2×121122100021013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121122100020982 and 121122100021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122100021913) 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, 35026632170 + ... + 35026635627.

It is an arithmetic number, because the mean of its divisors is an integer number (9807457491720).

Almost surely, 2^{121122100021013} is an apocalyptic number.

121122100021013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121122100021013 is a deficient number, since it is larger than the sum of its proper divisors (35797219846507).

121122100021013 is a wasteful number, since it uses less digits than its factorization.

121122100021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70053267836.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121122100021013 its reverse (310120001221121), we get a palindrome (431242101242134).

The spelling of 121122100021013 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, thirteen".