121012001211101 has 192 divisors, whose sum is σ = 172562180184576. Its totient is φ = 81902732083200.

The previous prime is 121012001211067. The next prime is 121012001211133. The reversal of 121012001211101 is 101112100210121.

It is not a de Polignac number, because 121012001211101 - 2¹⁰ = 121012001210077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012001291101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61334008751 + ... + 61334010723.

It is an arithmetic number, because the mean of its divisors is an integer number (898761355128).

Almost surely, 2^{121012001211101} is an apocalyptic number.

121012001211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121012001211101 is a deficient number, since it is larger than the sum of its proper divisors (51550178973475).

121012001211101 is a wasteful number, since it uses less digits than its factorization.

121012001211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121012001211101 its reverse (101112100210121), we get a palindrome (222124101421222).

The spelling of 121012001211101 in words is "one hundred twenty-one trillion, twelve billion, one million, two hundred eleven thousand, one hundred one".