1010102210000 has 100 divisors (see below), whose sum is σ = 2633678681172. Its totient is φ = 372960768000.

The previous prime is 1010102209997. The next prime is 1010102210011. The reversal of 1010102210000 is 122010101.

1010102210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 716758651456 + 293343558544 = 846616^2 + 541612^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1010102210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3755009 + ... + 4015008.

Almost surely, 2^{1010102210000} is an apocalyptic number.

1010102210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010102210000 is an abundant number, since it is smaller than the sum of its proper divisors (1623576471172).

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

1010102210000 is an equidigital number, since it uses as much as digits as its factorization.

1010102210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770058 (or 7770037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010102210000 its reverse (122010101), we get a palindrome (1010224220101).

The spelling of 1010102210000 in words is "one trillion, ten billion, one hundred two million, two hundred ten thousand".