1022102101 has 8 divisors (see below), whose sum is σ = 1084002264. Its totient is φ = 960399360.

The previous prime is 1022102057. The next prime is 1022102111. The reversal of 1022102101 is 1012012201.

1022102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15563025 + 1006539076 = 3945^2 + 31726^2 .

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

It is not a de Polignac number, because 1022102101 - 2¹³ = 1022093909 is a prime.

It is a super-2 number, since 2×1022102101² = 2089385409737228402, which 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 (1022102111) 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, 38620 + ... + 59461.

It is an arithmetic number, because the mean of its divisors is an integer number (135500283).

Almost surely, 2^1022102101 is an apocalyptic number.

It is an amenable number.

1022102101 is a deficient number, since it is larger than the sum of its proper divisors (61900163).

1022102101 is an equidigital number, since it uses as much as digits as its factorization.

1022102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98711.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1022102101 is about 31970.3315747585. The cubic root of 1022102101 is about 1007.3137457174.

Adding to 1022102101 its reverse (1012012201), we get a palindrome (2034114302).

The spelling of 1022102101 in words is "one billion, twenty-two million, one hundred two thousand, one hundred one".