101001101000202 has 640 divisors, whose sum is σ = 264474123217920. Its totient is φ = 28532756736000.

The previous prime is 101001101000201. The next prime is 101001101000213. The reversal of 101001101000202 is 202000101100101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101001101000201) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 136672666749 + ... + 136672667487.

It is an arithmetic number, because the mean of its divisors is an integer number (413240817528).

Almost surely, 2^{101001101000202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001101000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132237061608960).

101001101000202 is an abundant number, since it is smaller than the sum of its proper divisors (163473022217718).

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

101001101000202 is a wasteful number, since it uses less digits than its factorization.

101001101000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001101000202 its reverse (202000101100101), we get a palindrome (303001202100303).

The spelling of 101001101000202 in words is "one hundred one trillion, one billion, one hundred one million, two hundred two", and thus it is an aban number.