1020120021101 has 8 divisors (see below), whose sum is σ = 1031648398200. Its totient is φ = 1008593118720.

The previous prime is 1020120021077. The next prime is 1020120021127. The reversal of 1020120021101 is 1011200210201.

It can be written as a sum of positive squares in 4 ways, for example, as 88607428900 + 931512592201 = 297670^2 + 965149^2 .

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 1020120021101 - 2¹⁰ = 1020120020077 is a prime.

It is a super-2 number, since 2×1020120021101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020120021161) 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, 1053431 + ... + 1774811.

It is an arithmetic number, because the mean of its divisors is an integer number (128956049775).

Almost surely, 2^{1020120021101} is an apocalyptic number.

It is an amenable number.

1020120021101 is a deficient number, since it is larger than the sum of its proper divisors (11528377099).

1020120021101 is an equidigital number, since it uses as much as digits as its factorization.

1020120021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737359.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020120021101 its reverse (1011200210201), we get a palindrome (2031320231302).

The spelling of 1020120021101 in words is "one trillion, twenty billion, one hundred twenty million, twenty-one thousand, one hundred one".