1010201000000 has 98 divisors (see below), whose sum is σ = 2505742418274. Its totient is φ = 404080000000.

The previous prime is 1010200999981. The next prime is 1010201000027. The reversal of 1010201000000 is 1020101.

It is a happy number.

1010201000000 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 7 ways, for example, as 943913288704 + 66287711296 = 971552^2 + 257464^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 494900 + ... + 1505100.

Almost surely, 2^{1010201000000} is an apocalyptic number.

1010201000000 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 1010201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252871209137).

1010201000000 is an abundant number, since it is smaller than the sum of its proper divisors (1495541418274).

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

1010201000000 is an frugal number, since it uses more digits than its factorization.

1010201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010243 (or 1010208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1010201000000 its reverse (1020101), we get a palindrome (1010202020101).

The spelling of 1010201000000 in words is "one trillion, ten billion, two hundred one million", and thus it is an aban number.