1101002120010 has 96 divisors (see below), whose sum is σ = 3085133425920. Its totient is φ = 270811292544.

The previous prime is 1101002119969. The next prime is 1101002120011. The reversal of 1101002120010 is 100212001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101002119974 and 1101002120001.

It is not an unprimeable number, because it can be changed into a prime (1101002120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198021 + ... + 1907159.

It is an arithmetic number, because the mean of its divisors is an integer number (32136806520).

Almost surely, 2^{1101002120010} is an apocalyptic number.

1101002120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101002120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542566712960).

1101002120010 is an abundant number, since it is smaller than the sum of its proper divisors (1984131305910).

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

1101002120010 is a wasteful number, since it uses less digits than its factorization.

1101002120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710492 (or 710489 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101002120010 its reverse (100212001011), we get a palindrome (1201214121021).

The spelling of 1101002120010 in words is "one trillion, one hundred one billion, two million, one hundred twenty thousand, ten".