101202010002000 has 240 divisors, whose sum is σ = 353505218956032. Its totient is φ = 26984123308800.

The previous prime is 101202010001933. The next prime is 101202010002091. The reversal of 101202010002000 is 200010202101.

101202010002000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159649677 + ... + 160282323.

Almost surely, 2^{101202010002000} is an apocalyptic number.

101202010002000 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 101202010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176752609478016).

101202010002000 is an abundant number, since it is smaller than the sum of its proper divisors (252303208954032).

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

101202010002000 is a wasteful number, since it uses less digits than its factorization.

101202010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641563 (or 641544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101202010002000 its reverse (200010202101), we get a palindrome (101402020204101).

The spelling of 101202010002000 in words is "one hundred one trillion, two hundred two billion, ten million, two thousand".