1011121101211 has 8 divisors (see below), whose sum is σ = 1098535929120. Its totient is φ = 925082884992.

The previous prime is 1011121101209. The next prime is 1011121101223. The reversal of 1011121101211 is 1121011211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011121101211 - 2¹ = 1011121101209 is a prime.

It is a super-4 number, since 4×1011121101211⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011121101191 and 1011121101200.

It is not an unprimeable number, because it can be changed into a prime (1011121101251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344151391 + ... + 344154328.

It is an arithmetic number, because the mean of its divisors is an integer number (137316991140).

Almost surely, 2^{1011121101211} is an apocalyptic number.

1011121101211 is a deficient number, since it is larger than the sum of its proper divisors (87414827909).

1011121101211 is a wasteful number, since it uses less digits than its factorization.

1011121101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688305845.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011121101211 its reverse (1121011211101), we get a palindrome (2132132312312).

The spelling of 1011121101211 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred one thousand, two hundred eleven".