1011102121001 has 16 divisors (see below), whose sum is σ = 1223628276096. Its totient is φ = 815605860096.

The previous prime is 1011102120943. The next prime is 1011102121037. The reversal of 1011102121001 is 1001212011101.

It is a cyclic number.

It is not a de Polignac number, because 1011102121001 - 2²² = 1011097926697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011102124001) 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, 971330 + ... + 1722116.

It is an arithmetic number, because the mean of its divisors is an integer number (76476767256).

Almost surely, 2^{1011102121001} is an apocalyptic number.

It is an amenable number.

1011102121001 is a deficient number, since it is larger than the sum of its proper divisors (212526155095).

1011102121001 is a wasteful number, since it uses less digits than its factorization.

1011102121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762128.

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

Adding to 1011102121001 its reverse (1001212011101), we get a palindrome (2012314132102).

The spelling of 1011102121001 in words is "one trillion, eleven billion, one hundred two million, one hundred twenty-one thousand, one".