10102120200000 has 672 divisors, whose sum is σ = 37177029267840. Its totient is φ = 2689804800000.

The previous prime is 10102120199981. The next prime is 10102120200023. The reversal of 10102120200000 is 202120101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5578199095 + ... + 5578200905.

It is an arithmetic number, because the mean of its divisors is an integer number (55322960220).

Almost surely, 2^{10102120200000} is an apocalyptic number.

10102120200000 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 10102120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588514633920).

10102120200000 is an abundant number, since it is smaller than the sum of its proper divisors (27074909067840).

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

10102120200000 is an equidigital number, since it uses as much as digits as its factorization.

10102120200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102120200000 its reverse (202120101), we get a palindrome (10102322320101).

The spelling of 10102120200000 in words is "ten trillion, one hundred two billion, one hundred twenty million, two hundred thousand".