10101102330000 has 400 divisors, whose sum is σ = 37664535940416. Its totient is φ = 2304706560000.

The previous prime is 10101102329993. The next prime is 10101102330029. The reversal of 10101102330000 is 3320110101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10101102330000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4709724 + ... + 6510276.

Almost surely, 2^{10101102330000} is an apocalyptic number.

10101102330000 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 10101102330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18832267970208).

10101102330000 is an abundant number, since it is smaller than the sum of its proper divisors (27563433610416).

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

10101102330000 is a wasteful number, since it uses less digits than its factorization.

10101102330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800612 (or 1800591 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101102330000 its reverse (3320110101), we get a palindrome (10104422440101).

The spelling of 10101102330000 in words is "ten trillion, one hundred one billion, one hundred two million, three hundred thirty thousand".