101101000021002 has 12 divisors (see below), whose sum is σ = 219052166712210. Its totient is φ = 33700333340328.

The previous prime is 101101000020961. The next prime is 101101000021039. The reversal of 101101000021002 is 200120000101101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77046595309161 + 24054404711841 = 8777619^2 + 4904529^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2808361111677 + ... + 2808361111712.

Almost surely, 2^{101101000021002} is an apocalyptic number.

101101000021002 is an abundant number, since it is smaller than the sum of its proper divisors (117951166691208).

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

101101000021002 is a wasteful number, since it uses less digits than its factorization.

101101000021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616722223397 (or 5616722223394 counting only the distinct ones).

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

Adding to 101101000021002 its reverse (200120000101101), we get a palindrome (301221000122103).

The spelling of 101101000021002 in words is "one hundred one trillion, one hundred one billion, twenty-one thousand, two".