1122121001001 has 96 divisors (see below), whose sum is σ = 2025505407744. Its totient is φ = 537693235200.

The previous prime is 1122121000999. The next prime is 1122121001041. The reversal of 1122121001001 is 1001001212211.

It is not a de Polignac number, because 1122121001001 - 2¹ = 1122121000999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122121001041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48910405 + ... + 48933341.

It is an arithmetic number, because the mean of its divisors is an integer number (21099014664).

Almost surely, 2^{1122121001001} is an apocalyptic number.

1122121001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122121001001 is a deficient number, since it is larger than the sum of its proper divisors (903384406743).

1122121001001 is a wasteful number, since it uses less digits than its factorization.

1122121001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24463 (or 24452 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122121001001 its reverse (1001001212211), we get a palindrome (2123122213212).

The spelling of 1122121001001 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand, one".