10102011220000 has 240 divisors, whose sum is σ = 28479108917952. Its totient is φ = 3454243200000.

The previous prime is 10102011219961. The next prime is 10102011220019. The reversal of 10102011220000 is 2211020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52123275 + ... + 52316725.

Almost surely, 2^{10102011220000} is an apocalyptic number.

10102011220000 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 10102011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239554458976).

10102011220000 is an abundant number, since it is smaller than the sum of its proper divisors (18377097697952).

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

10102011220000 is an equidigital number, since it uses as much as digits as its factorization.

10102011220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193861 (or 193838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102011220000 its reverse (2211020101), we get a palindrome (10104222240101).

The spelling of 10102011220000 in words is "ten trillion, one hundred two billion, eleven million, two hundred twenty thousand".