121120100010101 has 32 divisors (see below), whose sum is σ = 127522955232000. Its totient is φ = 114815746608640.

The previous prime is 121120100010073. The next prime is 121120100010139. The reversal of 121120100010101 is 101010001021121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121120100010101 is a prime.

It is a super-3 number, since 3×121120100010101³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120100010191) 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, 3423291431 + ... + 3423326811.

It is an arithmetic number, because the mean of its divisors is an integer number (3985092351000).

Almost surely, 2^{121120100010101} is an apocalyptic number.

It is an amenable number.

121120100010101 is a deficient number, since it is larger than the sum of its proper divisors (6402855221899).

121120100010101 is a wasteful number, since it uses less digits than its factorization.

121120100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37789.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121120100010101 its reverse (101010001021121), we get a palindrome (222130101031222).

The spelling of 121120100010101 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred million, ten thousand, one hundred one".