1001121100101 has 32 divisors (see below), whose sum is σ = 1514539382400. Its totient is φ = 653379298560.

The previous prime is 1001121100079. The next prime is 1001121100121. The reversal of 1001121100101 is 1010011211001.

It is not a de Polignac number, because 1001121100101 - 2⁶ = 1001121100037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001121100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919926 + ... + 1687751.

It is an arithmetic number, because the mean of its divisors is an integer number (47329355700).

Almost surely, 2^{1001121100101} is an apocalyptic number.

It is an amenable number.

1001121100101 is a deficient number, since it is larger than the sum of its proper divisors (513418282299).

1001121100101 is a wasteful number, since it uses less digits than its factorization.

1001121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607986 (or 2607980 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001121100101 its reverse (1010011211001), we get a palindrome (2011132311102).

The spelling of 1001121100101 in words is "one trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred one".