10101222102121 has 8 divisors (see below), whose sum is σ = 10202499275400. Its totient is φ = 9999969734400.

The previous prime is 10101222102073. The next prime is 10101222102211. The reversal of 10101222102121 is 12120122210101.

It can be written as a sum of positive squares in 4 ways, for example, as 1412056890000 + 8689165212121 = 1188300^2 + 2947739^2 .

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 10101222102121 - 2⁹ = 10101222101609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101222102095 and 10101222102104.

It is not an unprimeable number, because it can be changed into a prime (10101222102821) 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, 5382336 + ... + 7012273.

It is an arithmetic number, because the mean of its divisors is an integer number (1275312409425).

Almost surely, 2^{10101222102121} is an apocalyptic number.

It is an amenable number.

10101222102121 is a deficient number, since it is larger than the sum of its proper divisors (101277173279).

10101222102121 is a wasteful number, since it uses less digits than its factorization.

10101222102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12402779.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10101222102121 its reverse (12120122210101), we get a palindrome (22221344312222).

The spelling of 10101222102121 in words is "ten trillion, one hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-one".