101001101102 has 64 divisors (see below), whose sum is σ = 168958560960. Its totient is φ = 44900352000.

The previous prime is 101001101101. The next prime is 101001101119. The reversal of 101001101102 is 201101100101.

It is a happy number.

It is a super-2 number, since 2×101001101102² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108719774 + ... + 108720702.

It is an arithmetic number, because the mean of its divisors is an integer number (2639977515).

Almost surely, 2^101001101102 is an apocalyptic number.

101001101102 is a deficient number, since it is larger than the sum of its proper divisors (67957459858).

101001101102 is a wasteful number, since it uses less digits than its factorization.

101001101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

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

Adding to 101001101102 its reverse (201101100101), we get a palindrome (302102201203).

The spelling of 101001101102 in words is "one hundred one billion, one million, one hundred one thousand, one hundred two".