1020011021121 has 16 divisors (see below), whose sum is σ = 1373861810880. Its totient is φ = 673087531200.

The previous prime is 1020011021101. The next prime is 1020011021123. The reversal of 1020011021121 is 1211201100201.

1020011021121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020011021121 - 2⁷ = 1020011020993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020011021097 and 1020011021106.

It is not an unprimeable number, because it can be changed into a prime (1020011021123) 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, 628870 + ... + 1560608.

It is an arithmetic number, because the mean of its divisors is an integer number (85866363180).

Almost surely, 2^{1020011021121} is an apocalyptic number.

It is an amenable number.

1020011021121 is a deficient number, since it is larger than the sum of its proper divisors (353850789759).

1020011021121 is a wasteful number, since it uses less digits than its factorization.

1020011021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935456.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020011021121 its reverse (1211201100201), we get a palindrome (2231212121322).

The spelling of 1020011021121 in words is "one trillion, twenty billion, eleven million, twenty-one thousand, one hundred twenty-one".