1020101121011 has 8 divisors (see below), whose sum is σ = 1166549069664. Its totient is φ = 873832976640.

The previous prime is 1020101120993. The next prime is 1020101121079. The reversal of 1020101121011 is 1101211010201.

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 1020101121011 - 2¹⁰ = 1020101119987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020101120983 and 1020101121001.

It is not an unprimeable number, because it can be changed into a prime (1020101121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44938910 + ... + 44961603.

It is an arithmetic number, because the mean of its divisors is an integer number (145818633708).

Almost surely, 2^{1020101121011} is an apocalyptic number.

1020101121011 is a deficient number, since it is larger than the sum of its proper divisors (146447948653).

1020101121011 is an equidigital number, since it uses as much as digits as its factorization.

1020101121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89902141.

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

Adding to 1020101121011 its reverse (1101211010201), we get a palindrome (2121312131212).

The spelling of 1020101121011 in words is "one trillion, twenty billion, one hundred one million, one hundred twenty-one thousand, eleven".