101002002110000 has 400 divisors, whose sum is σ = 257228758448640. Its totient is φ = 38371656960000.

The previous prime is 101002002109991. The next prime is 101002002110003. The reversal of 101002002110000 is 11200200101.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101002002110000.

It is not an unprimeable number, because it can be changed into a prime (101002002110003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2228667341 + ... + 2228712659.

Almost surely, 2^{101002002110000} is an apocalyptic number.

101002002110000 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 101002002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128614379224320).

101002002110000 is an abundant number, since it is smaller than the sum of its proper divisors (156226756338640).

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

101002002110000 is an equidigital number, since it uses as much as digits as its factorization.

101002002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45534 (or 45513 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101002002110000 its reverse (11200200101), we get a palindrome (101013202310101).

The spelling of 101002002110000 in words is "one hundred one trillion, two billion, two million, one hundred ten thousand".