1020001011121 has 8 divisors (see below), whose sum is σ = 1043782312320. Its totient is φ = 996222453072.

The previous prime is 1020001011103. The next prime is 1020001011157. The reversal of 1020001011121 is 1211101000201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020001011121 - 2⁵ = 1020001011089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020001011098 and 1020001011107.

It is not an unprimeable number, because it can be changed into a prime (1020004011121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76311 + ... + 1430323.

It is an arithmetic number, because the mean of its divisors is an integer number (130472789040).

Almost surely, 2^{1020001011121} is an apocalyptic number.

It is an amenable number.

1020001011121 is a deficient number, since it is larger than the sum of its proper divisors (23781301199).

1020001011121 is a wasteful number, since it uses less digits than its factorization.

1020001011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371575.

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

Adding to 1020001011121 its reverse (1211101000201), we get a palindrome (2231102011322).

The spelling of 1020001011121 in words is "one trillion, twenty billion, one million, eleven thousand, one hundred twenty-one".