101001001001102 has 64 divisors (see below), whose sum is σ = 163503276045120. Its totient is φ = 46624241664000.

The previous prime is 101001001001083. The next prime is 101001001001129. The reversal of 101001001001102 is 201100100100101.

It is a happy number.

101001001001102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101001001001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277377974 + ... + 277741862.

It is an arithmetic number, because the mean of its divisors is an integer number (2554738688205).

Almost surely, 2^{101001001001102} is an apocalyptic number.

101001001001102 is a deficient number, since it is larger than the sum of its proper divisors (62502275044018).

101001001001102 is a wasteful number, since it uses less digits than its factorization.

101001001001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364757.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001001001102 its reverse (201100100100101), we get a palindrome (302101101101203).

The spelling of 101001001001102 in words is "one hundred one trillion, one billion, one million, one thousand, one hundred two".