10102212202000 has 80 divisors (see below), whose sum is σ = 24435407498112. Its totient is φ = 4039518729600.

The previous prime is 10102212201953. The next prime is 10102212202087. The reversal of 10102212202000 is 20221220101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5073637 + ... + 6778363.

Almost surely, 2^{10102212202000} is an apocalyptic number.

10102212202000 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 10102212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217703749056).

10102212202000 is an abundant number, since it is smaller than the sum of its proper divisors (14333195296112).

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

10102212202000 is a wasteful number, since it uses less digits than its factorization.

10102212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707713 (or 1707697 counting only the distinct ones).

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

Adding to 10102212202000 its reverse (20221220101), we get a palindrome (10122433422101).

The spelling of 10102212202000 in words is "ten trillion, one hundred two billion, two hundred twelve million, two hundred two thousand".