10202120122000 has 160 divisors (see below), whose sum is σ = 24869235231360. Its totient is φ = 4047778137600.

The previous prime is 10202120121997. The next prime is 10202120122031. The reversal of 10202120122000 is 22102120201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165903259 + ... + 165964741.

It is an arithmetic number, because the mean of its divisors is an integer number (155432720196).

Almost surely, 2^{10202120122000} is an apocalyptic number.

10202120122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434617615680).

10202120122000 is an abundant number, since it is smaller than the sum of its proper divisors (14667115109360).

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

10202120122000 is a wasteful number, since it uses less digits than its factorization.

10202120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62178 (or 62162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202120122000 its reverse (22102120201), we get a palindrome (10224222242201).

The spelling of 10202120122000 in words is "ten trillion, two hundred two billion, one hundred twenty million, one hundred twenty-two thousand".