101011010101000 has 64 divisors (see below), whose sum is σ = 237686243184000. Its totient is φ = 40178681041600.

The previous prime is 101011010100983. The next prime is 101011010101087. The reversal of 101011010101000 is 101010110101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281974660 + ... + 282332659.

It is an arithmetic number, because the mean of its divisors is an integer number (3713847549750).

Almost surely, 2^{101011010101000} is an apocalyptic number.

101011010101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011010101000 is an abundant number, since it is smaller than the sum of its proper divisors (136675233083000).

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

101011010101000 is a wasteful number, since it uses less digits than its factorization.

101011010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564307519 (or 564307505 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011010101000 its reverse (101010110101), we get a palindrome (101112020211101).

The spelling of 101011010101000 in words is "one hundred one trillion, eleven billion, ten million, one hundred one thousand".