102110033000 has 64 divisors (see below), whose sum is σ = 239050627920. Its totient is φ = 40824672000.

The previous prime is 102110032979. The next prime is 102110033017. The reversal of 102110033000 is 330011201.

It can be written as a sum of positive squares in 8 ways, for example, as 7407356356 + 94702676644 = 86066^2 + 307738^2 .

It is a super-2 number, since 2×102110033000² (a number of 23 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, 2189930 + ... + 2236070.

Almost surely, 2^102110033000 is an apocalyptic number.

102110033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119525313960).

102110033000 is an abundant number, since it is smaller than the sum of its proper divisors (136940594920).

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

102110033000 is a wasteful number, since it uses less digits than its factorization.

102110033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48375 (or 48361 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 102110033000 its reverse (330011201), we get a palindrome (102440044201).

The spelling of 102110033000 in words is "one hundred two billion, one hundred ten million, thirty-three thousand".