101055001000 has 32 divisors (see below), whose sum is σ = 236468704680. Its totient is φ = 40422000000.

The previous prime is 101055000979. The next prime is 101055001027. The reversal of 101055001000 is 100550101.

It can be written as a sum of positive squares in 4 ways, for example, as 66608383396 + 34446617604 = 258086^2 + 185598^2 .

It is a super-2 number, since 2×101055001000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50526501 + ... + 50528500.

Almost surely, 2^101055001000 is an apocalyptic number.

101055001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101055001000 is an abundant number, since it is smaller than the sum of its proper divisors (135413703680).

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

101055001000 is a wasteful number, since it uses less digits than its factorization.

101055001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101055022 (or 101055008 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 101055001000 its reverse (100550101), we get a palindrome (101155551101).

It can be divided in two parts, 10105 and 5001000, that added together give a palindrome (5011105).

The spelling of 101055001000 in words is "one hundred one billion, fifty-five million, one thousand".