1010102102101 has 8 divisors (see below), whose sum is σ = 1055705719320. Its totient is φ = 965216652288.

The previous prime is 1010102102083. The next prime is 1010102102147. The reversal of 1010102102101 is 1012012010101.

It can be written as a sum of positive squares in 4 ways, for example, as 7552479025 + 1002549623076 = 86905^2 + 1001274^2 .

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 1010102102101 - 2¹³ = 1010102093909 is a prime.

It is a super-2 number, since 2×1010102102101² (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 (1010102102201) 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, 179538976 + ... + 179544601.

It is an arithmetic number, because the mean of its divisors is an integer number (131963214915).

Almost surely, 2^{1010102102101} is an apocalyptic number.

It is an amenable number.

1010102102101 is a deficient number, since it is larger than the sum of its proper divisors (45603617219).

1010102102101 is an equidigital number, since it uses as much as digits as its factorization.

1010102102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359083703.

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

Adding to 1010102102101 its reverse (1012012010101), we get a palindrome (2022114112202).

The spelling of 1010102102101 in words is "one trillion, ten billion, one hundred two million, one hundred two thousand, one hundred one".