101002002000 has 160 divisors (see below), whose sum is σ = 326620654464. Its totient is φ = 26851968000.

The previous prime is 101002001987. The next prime is 101002002103. The reversal of 101002002000 is 200200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101002002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1960572 + ... + 2011428.

Almost surely, 2^101002002000 is an apocalyptic number.

101002002000 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 101002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163310327232).

101002002000 is an abundant number, since it is smaller than the sum of its proper divisors (225618652464).

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

101002002000 is a wasteful number, since it uses less digits than its factorization.

101002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51214 (or 51198 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 101002002000 its reverse (200200101), we get a palindrome (101202202101).

The spelling of 101002002000 in words is "one hundred one billion, two million, two thousand".