1021102100213 has 8 divisors (see below), whose sum is σ = 1099967295000. Its totient is φ = 942282459648.

The previous prime is 1021102100177. The next prime is 1021102100261. The reversal of 1021102100213 is 3120012011201.

It can be written as a sum of positive squares in 4 ways, for example, as 98997071044 + 922105029169 = 314638^2 + 960263^2 .

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 1021102100213 - 2¹⁸ = 1021101838069 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 (1021102100813) 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, 11341988 + ... + 11431661.

It is an arithmetic number, because the mean of its divisors is an integer number (137495911875).

Almost surely, 2^{1021102100213} is an apocalyptic number.

1021102100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1021102100213 is a deficient number, since it is larger than the sum of its proper divisors (78865194787).

1021102100213 is a wasteful number, since it uses less digits than its factorization.

1021102100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22777111.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1021102100213 its reverse (3120012011201), we get a palindrome (4141114111414).

The spelling of 1021102100213 in words is "one trillion, twenty-one billion, one hundred two million, one hundred thousand, two hundred thirteen".