1202010098688 has 616 divisors, whose sum is σ = 4229239754912. Its totient is φ = 334095777792.

The previous prime is 1202010098683. The next prime is 1202010098693. The reversal of 1202010098688 is 8868900102021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1202010098683) and next prime (1202010098693).

It is not an unprimeable number, because it can be changed into a prime (1202010098683) 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 55 ways as a sum of consecutive naturals, for example, 193339356 + ... + 193345572.

Almost surely, 2^{1202010098688} is an apocalyptic number.

1202010098688 is a gapful number since it is divisible by the number (18) 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 1202010098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114619877456).

1202010098688 is an abundant number, since it is smaller than the sum of its proper divisors (3027229656224).

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

1202010098688 is an frugal number, since it uses more digits than its factorization.

1202010098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1202010098688 in words is "one trillion, two hundred two billion, ten million, ninety-eight thousand, six hundred eighty-eight".