1201101121001 has 24 divisors (see below), whose sum is σ = 1236405240000. Its totient is φ = 1166688239904.

The previous prime is 1201101120943. The next prime is 1201101121019. The reversal of 1201101121001 is 1001211011021.

It is not a de Polignac number, because 1201101121001 - 2⁶ = 1201101120937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201101120001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92965220 + ... + 92978138.

It is an arithmetic number, because the mean of its divisors is an integer number (51516885000).

Almost surely, 2^{1201101121001} is an apocalyptic number.

It is an amenable number.

1201101121001 is a deficient number, since it is larger than the sum of its proper divisors (35304118999).

1201101121001 is a wasteful number, since it uses less digits than its factorization.

1201101121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1201101121001 its reverse (1001211011021), we get a palindrome (2202312132022).

The spelling of 1201101121001 in words is "one trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, one".