101101022000202 has 128 divisors (see below), whose sum is σ = 247560018716160. Its totient is φ = 26915125386240.

The previous prime is 101101022000191. The next prime is 101101022000207. The reversal of 101101022000202 is 202000220101101.

It is not an unprimeable number, because it can be changed into a prime (101101022000207) 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 63 ways as a sum of consecutive naturals, for example, 8899473 + ... + 16775060.

It is an arithmetic number, because the mean of its divisors is an integer number (1934062646220).

Almost surely, 2^{101101022000202} is an apocalyptic number.

101101022000202 is an abundant number, since it is smaller than the sum of its proper divisors (146458996715958).

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

101101022000202 is a wasteful number, since it uses less digits than its factorization.

101101022000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25674688.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101101022000202 its reverse (202000220101101), we get a palindrome (303101242101303).

The spelling of 101101022000202 in words is "one hundred one trillion, one hundred one billion, twenty-two million, two hundred two", and thus it is an aban number.