101011011121001 has 16 divisors (see below), whose sum is σ = 104115596175360. Its totient is φ = 97948673431440.

The previous prime is 101011011120989. The next prime is 101011011121117. The reversal of 101011011121001 is 100121110110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101011011121001 - 2⁶ = 101011011120937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011011121901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9440741 + ... + 17063106.

It is an arithmetic number, because the mean of its divisors is an integer number (6507224760960).

Almost surely, 2^{101011011121001} is an apocalyptic number.

It is an amenable number.

101011011121001 is a deficient number, since it is larger than the sum of its proper divisors (3104585054359).

101011011121001 is a wasteful number, since it uses less digits than its factorization.

101011011121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26504644.

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

Adding to 101011011121001 its reverse (100121110110101), we get a palindrome (201132121231102).

The spelling of 101011011121001 in words is "one hundred one trillion, eleven billion, eleven million, one hundred twenty-one thousand, one".