101101100101002 has 80 divisors (see below), whose sum is σ = 231225704788320. Its totient is φ = 33005779998048.

The previous prime is 101101100100991. The next prime is 101101100101007. The reversal of 101101100101002 is 200101001101101.

It is a super-2 number, since 2×101101100101002² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101101100101007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5623552 + ... + 15291387.

It is an arithmetic number, because the mean of its divisors is an integer number (2890321309854).

Almost surely, 2^{101101100101002} is an apocalyptic number.

101101100101002 is an abundant number, since it is smaller than the sum of its proper divisors (130124604687318).

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

101101100101002 is a wasteful number, since it uses less digits than its factorization.

101101100101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915569 (or 20915560 counting only the distinct ones).

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

Adding to 101101100101002 its reverse (200101001101101), we get a palindrome (301202101202103).

The spelling of 101101100101002 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, two".