1020101202101 has 8 divisors (see below), whose sum is σ = 1020787848024. Its totient is φ = 1019414753280.

The previous prime is 1020101202089. The next prime is 1020101202103. The reversal of 1020101202101 is 1012021010201.

It can be written as a sum of positive squares in 4 ways, for example, as 1566101476 + 1018535100625 = 39574^2 + 1009225^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020101202101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101202103) 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, 11146991 + ... + 11238131.

It is an arithmetic number, because the mean of its divisors is an integer number (127598481003).

Almost surely, 2^{1020101202101} is an apocalyptic number.

It is an amenable number.

1020101202101 is a deficient number, since it is larger than the sum of its proper divisors (686645923).

1020101202101 is an equidigital number, since it uses as much as digits as its factorization.

1020101202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98551.

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

Adding to 1020101202101 its reverse (1012021010201), we get a palindrome (2032122212302).

The spelling of 1020101202101 in words is "one trillion, twenty billion, one hundred one million, two hundred two thousand, one hundred one".