101002102000 has 80 divisors (see below), whose sum is σ = 244694365344. Its totient is φ = 40322880000.

The previous prime is 101002101931. The next prime is 101002102009. The reversal of 101002102000 is 201200101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993535 + ... + 1090465.

Almost surely, 2^101002102000 is an apocalyptic number.

101002102000 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 101002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122347182672).

101002102000 is an abundant number, since it is smaller than the sum of its proper divisors (143692263344).

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

101002102000 is an equidigital number, since it uses as much as digits as its factorization.

101002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97475 (or 97459 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101002102000 its reverse (201200101), we get a palindrome (101203302101).

The spelling of 101002102000 in words is "one hundred one billion, two million, one hundred two thousand".