10122121202000 has 40 divisors (see below), whose sum is σ = 24475289071272. Its totient is φ = 4048848480000.

The previous prime is 10122121201991. The next prime is 10122121202009. The reversal of 10122121202000 is 20212122101.

It is an interprime number because it is at equal distance from previous prime (10122121201991) and next prime (10122121202009).

It can be written as a sum of positive squares in 4 ways, for example, as 3162507382336 + 6959613819664 = 1778344^2 + 2638108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122121202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2530528301 + ... + 2530532300.

Almost surely, 2^{10122121202000} is an apocalyptic number.

10122121202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121202000 is an abundant number, since it is smaller than the sum of its proper divisors (14353167869272).

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

10122121202000 is an equidigital number, since it uses as much as digits as its factorization.

10122121202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061060624 (or 5061060608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122121202000 its reverse (20212122101), we get a palindrome (10142333324101).

The spelling of 10122121202000 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand".