101010201202000 has 160 divisors (see below), whose sum is σ = 247502901862944. Its totient is φ = 39867484160000.

The previous prime is 101010201201997. The next prime is 101010201202003. The reversal of 101010201202000 is 202102010101.

It is an interprime number because it is at equal distance from previous prime (101010201201997) and next prime (101010201202003).

It can be written as a sum of positive squares in 16 ways, for example, as 955873825344 + 100054327376656 = 977688^2 + 10002716^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010201202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58332672 + ... + 60039328.

Almost surely, 2^{101010201202000} is an apocalyptic number.

101010201202000 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 101010201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123751450931472).

101010201202000 is an abundant number, since it is smaller than the sum of its proper divisors (146492700660944).

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

101010201202000 is a wasteful number, since it uses less digits than its factorization.

101010201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707074 (or 1707058 counting only the distinct ones).

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

Adding to 101010201202000 its reverse (202102010101), we get a palindrome (101212303212101).

The spelling of 101010201202000 in words is "one hundred one trillion, ten billion, two hundred one million, two hundred two thousand".