101000110102000 has 80 divisors (see below), whose sum is σ = 247657960465344. Its totient is φ = 39831029280000.

The previous prime is 101000110101967. The next prime is 101000110102007. The reversal of 101000110102000 is 201011000101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101000110102000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355492191 + ... + 355776190.

Almost surely, 2^{101000110102000} is an apocalyptic number.

101000110102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000110102000 is an abundant number, since it is smaller than the sum of its proper divisors (146657850363344).

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

101000110102000 is an equidigital number, since it uses as much as digits as its factorization.

101000110102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711268475 (or 711268459 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000110102000 its reverse (201011000101), we get a palindrome (101201121102101).

The spelling of 101000110102000 in words is "one hundred one trillion, one hundred ten million, one hundred two thousand".