101121211011001 has 8 divisors (see below), whose sum is σ = 106443623967680. Its totient is φ = 95798822449968.

The previous prime is 101121211010977. The next prime is 101121211011013. The reversal of 101121211011001 is 100110112121101.

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 101121211011001 - 2⁷ = 101121211010873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121211011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2737660 + ... + 14482306.

It is an arithmetic number, because the mean of its divisors is an integer number (13305452995960).

Almost surely, 2^{101121211011001} is an apocalyptic number.

It is an amenable number.

101121211011001 is a deficient number, since it is larger than the sum of its proper divisors (5322412956679).

101121211011001 is a wasteful number, since it uses less digits than its factorization.

101121211011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197823.

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

Adding to 101121211011001 its reverse (100110112121101), we get a palindrome (201231323132102).

It can be divided in two parts, 10112121101 and 1001, that multiplied together give a palindrome (10122233222101).

The spelling of 101121211011001 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, eleven thousand, one".