101011001102002 has 8 divisors (see below), whose sum is σ = 153016665036012. Its totient is φ = 50005446090000.

The previous prime is 101011001101979. The next prime is 101011001102003. The reversal of 101011001102002 is 200201100110101.

It can be written as a sum of positive squares in 2 ways, for example, as 99471121137441 + 1539879964561 = 9973521^2 + 1240919^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101011001102002.

It is not an unprimeable number, because it can be changed into a prime (101011001102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250027230249 + ... + 250027230652.

Almost surely, 2^{101011001102002} is an apocalyptic number.

101011001102002 is a deficient number, since it is larger than the sum of its proper divisors (52005663934010).

101011001102002 is a wasteful number, since it uses less digits than its factorization.

101011001102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500054461004.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011001102002 its reverse (200201100110101), we get a palindrome (301212101212103).

The spelling of 101011001102002 in words is "one hundred one trillion, eleven billion, one million, one hundred two thousand, two".