101002000111101 has 12 divisors (see below), whose sum is σ = 145917154909500. Its totient is φ = 67322954292480.

The previous prime is 101002000111087. The next prime is 101002000111121. The reversal of 101002000111101 is 101111000200101.

It can be written as a sum of positive squares in 2 ways, for example, as 34954700062500 + 66047300048601 = 5912250^2 + 8126949^2 .

It is not a de Polignac number, because 101002000111101 - 2⁹ = 101002000110589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002000111121) 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 11 ways as a sum of consecutive naturals, for example, 975982740 + ... + 976086221.

It is an arithmetic number, because the mean of its divisors is an integer number (12159762909125).

Almost surely, 2^{101002000111101} is an apocalyptic number.

It is an amenable number.

101002000111101 is a deficient number, since it is larger than the sum of its proper divisors (44915154798399).

101002000111101 is a wasteful number, since it uses less digits than its factorization.

101002000111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952074716 (or 1952074713 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101002000111101 its reverse (101111000200101), we get a palindrome (202113000311202).

The spelling of 101002000111101 in words is "one hundred one trillion, two billion, one hundred eleven thousand, one hundred one".