101110020001000 has 64 divisors (see below), whose sum is σ = 236615033987280. Its totient is φ = 40441001644800.

The previous prime is 101110020000943. The next prime is 101110020001043. The reversal of 101110020001000 is 100020011101.

It can be written as a sum of positive squares in 8 ways, for example, as 32379718941124 + 68730301059876 = 5690318^2 + 8290374^2 .

It is a super-2 number, since 2×101110020001000² (a number of 29 digits) contains 22 as substring.

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, 9725794 + ... + 17228206.

Almost surely, 2^{101110020001000} is an apocalyptic number.

101110020001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110020001000 is an abundant number, since it is smaller than the sum of its proper divisors (135505013986280).

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

101110020001000 is a wasteful number, since it uses less digits than its factorization.

101110020001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515911 (or 7515897 counting only the distinct ones).

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

Adding to 101110020001000 its reverse (100020011101), we get a palindrome (101210040012101).

The spelling of 101110020001000 in words is "one hundred one trillion, one hundred ten billion, twenty million, one thousand".