101101000000002 has 128 divisors (see below), whose sum is σ = 222513848064000. Its totient is φ = 30481430031360.

The previous prime is 101100999999997. The next prime is 101101000000079. The reversal of 101101000000002 is 200000000101101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3485145274 + ... + 3485174282.

It is an arithmetic number, because the mean of its divisors is an integer number (1738389438000).

Almost surely, 2^{101101000000002} is an apocalyptic number.

101101000000002 is an abundant number, since it is smaller than the sum of its proper divisors (121412848063998).

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

101101000000002 is a wasteful number, since it uses less digits than its factorization.

101101000000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31496.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101101000000002 its reverse (200000000101101), we get a palindrome (301101000101103).

The spelling of 101101000000002 in words is "one hundred one trillion, one hundred one billion, two", and thus it is an aban number.