10202121202122 has 48 divisors (see below), whose sum is σ = 22668373465920. Its totient is φ = 3314152584000.

The previous prime is 10202121202121. The next prime is 10202121202123. The reversal of 10202121202122 is 22120212120201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10202121202121) and next prime (10202121202123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202121202095 and 10202121202104.

It is not an unprimeable number, because it can be changed into a prime (10202121202121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6843004 + ... + 8199447.

It is an arithmetic number, because the mean of its divisors is an integer number (472257780540).

Almost surely, 2^{10202121202122} is an apocalyptic number.

10202121202122 is an abundant number, since it is smaller than the sum of its proper divisors (12466252263798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202121202122 is a wasteful number, since it uses less digits than its factorization.

10202121202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043419 (or 15043416 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202121202122 its reverse (22120212120201), we get a palindrome (32322333322323).

The spelling of 10202121202122 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-two".