10101121111001 has 8 divisors (see below), whose sum is σ = 10452344015880. Its totient is φ = 9750092098432.

The previous prime is 10101121110991. The next prime is 10101121111051. The reversal of 10101121111001 is 10011112110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2946111347776 + 7155009763225 = 1716424^2 + 2674885^2 .

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 10101121111001 - 2³⁴ = 10083941241817 is a prime.

It is a super-2 number, since 2×10101121111001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101121111051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48367070 + ... + 48575463.

It is an arithmetic number, because the mean of its divisors is an integer number (1306543001985).

Almost surely, 2^{10101121111001} is an apocalyptic number.

It is an amenable number.

10101121111001 is a deficient number, since it is larger than the sum of its proper divisors (351222904879).

10101121111001 is an equidigital number, since it uses as much as digits as its factorization.

10101121111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96946155.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10101121111001 its reverse (10011112110101), we get a palindrome (20112233221102).

The spelling of 10101121111001 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one".