101000100101000 has 32 divisors (see below), whose sum is σ = 236340234238680. Its totient is φ = 40400040040000.

The previous prime is 101000100100981. The next prime is 101000100101057. The reversal of 101000100101000 is 101001000101.

It can be written as a sum of positive squares in 4 ways, for example, as 33876194746276 + 67123905354724 = 5820326^2 + 8192918^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50500049051 + ... + 50500051050.

Almost surely, 2^{101000100101000} is an apocalyptic number.

101000100101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000100101000 is an abundant number, since it is smaller than the sum of its proper divisors (135340134137680).

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

101000100101000 is a wasteful number, since it uses less digits than its factorization.

101000100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101000100122 (or 101000100108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000100101000 its reverse (101001000101), we get a palindrome (101101101101101).

The spelling of 101000100101000 in words is "one hundred one trillion, one hundred million, one hundred one thousand".