1211110121001 has 48 divisors (see below), whose sum is σ = 1812773487168. Its totient is φ = 713276409600.

The previous prime is 1211110120973. The next prime is 1211110121057. The reversal of 1211110121001 is 1001210111121.

It is not a de Polignac number, because 1211110121001 - 2²² = 1211105926697 is a prime.

It is a super-2 number, since 2×1211110121001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211110121401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37073991 + ... + 37106643.

It is an arithmetic number, because the mean of its divisors is an integer number (37766114316).

Almost surely, 2^{1211110121001} is an apocalyptic number.

1211110121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211110121001 is a deficient number, since it is larger than the sum of its proper divisors (601663366167).

1211110121001 is a wasteful number, since it uses less digits than its factorization.

1211110121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33562 (or 33525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1211110121001 its reverse (1001210111121), we get a palindrome (2212320232122).

The spelling of 1211110121001 in words is "one trillion, two hundred eleven billion, one hundred ten million, one hundred twenty-one thousand, one".