101000001001000 has 64 divisors (see below), whose sum is σ = 238548787663680. Its totient is φ = 40022430260800.

The previous prime is 101000001000979. The next prime is 101000001001019. The reversal of 101000001001000 is 100100000101.

It is a super-4 number, since 4×101000001001000⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (4).

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, 471855622 + ... + 472069621.

It is an arithmetic number, because the mean of its divisors is an integer number (3727324807245).

Almost surely, 2^{101000001001000} is an apocalyptic number.

101000001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000001001000 is an abundant number, since it is smaller than the sum of its proper divisors (137548786662680).

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

101000001001000 is a wasteful number, since it uses less digits than its factorization.

101000001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943925371 (or 943925357 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000001001000 its reverse (100100000101), we get a palindrome (101100101001101).

The spelling of 101000001001000 in words is "one hundred one trillion, one million, one thousand".