1020011211121 has 24 divisors (see below), whose sum is σ = 1238827037760. Its totient is φ = 835813373472.

The previous prime is 1020011211091. The next prime is 1020011211133. The reversal of 1020011211121 is 1211121100201.

It is a happy number.

It is not a de Polignac number, because 1020011211121 - 2¹¹ = 1020011209073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020011211421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1763250 + ... + 2269156.

It is an arithmetic number, because the mean of its divisors is an integer number (51617793240).

Almost surely, 2^{1020011211121} is an apocalyptic number.

It is an amenable number.

1020011211121 is a deficient number, since it is larger than the sum of its proper divisors (218815826639).

1020011211121 is a wasteful number, since it uses less digits than its factorization.

1020011211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507733 (or 507726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1020011211121 its reverse (1211121100201), we get a palindrome (2231132311322).

The spelling of 1020011211121 in words is "one trillion, twenty billion, eleven million, two hundred eleven thousand, one hundred twenty-one".