1021100011201 has 16 divisors (see below), whose sum is σ = 1032787405440. Its totient is φ = 1009445011200.

The previous prime is 1021100011153. The next prime is 1021100011219.

1021100011201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1021100011201 - 2²¹ = 1021097914049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021100011601) 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, 242022070 + ... + 242026288.

It is an arithmetic number, because the mean of its divisors is an integer number (64549212840).

Almost surely, 2^{1021100011201} is an apocalyptic number.

It is an amenable number.

1021100011201 is a deficient number, since it is larger than the sum of its proper divisors (11687394239).

1021100011201 is a wasteful number, since it uses less digits than its factorization.

1021100011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 10211000 and 11201, that added together give a palindrome (10222201).

The spelling of 1021100011201 in words is "one trillion, twenty-one billion, one hundred million, eleven thousand, two hundred one".