121012112001011 has 192 divisors, whose sum is σ = 167475672907776. Its totient is φ = 84771078163200.

The previous prime is 121012112000993. The next prime is 121012112001023. The reversal of 121012112001011 is 110100211210121.

It is not a de Polignac number, because 121012112001011 - 2¹⁴ = 121012111984627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121012112001311) 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, 54095712785 + ... + 54095715021.

It is an arithmetic number, because the mean of its divisors is an integer number (872269129728).

Almost surely, 2^{121012112001011} is an apocalyptic number.

121012112001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121012112001011 is a deficient number, since it is larger than the sum of its proper divisors (46463560906765).

121012112001011 is a wasteful number, since it uses less digits than its factorization.

121012112001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2931 counting only the distinct ones).

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

Adding to 121012112001011 its reverse (110100211210121), we get a palindrome (231112323211132).

The spelling of 121012112001011 in words is "one hundred twenty-one trillion, twelve billion, one hundred twelve million, one thousand, eleven".