101030202000 has 960 divisors, whose sum is σ = 446300434944. Its totient is φ = 20727705600.

The previous prime is 101030201999. The next prime is 101030202019. The reversal of 101030202000 is 202030101.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60605167 + ... + 60606833.

Almost surely, 2^101030202000 is an apocalyptic number.

101030202000 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 101030202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223150217472).

101030202000 is an abundant number, since it is smaller than the sum of its proper divisors (345270232944).

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

101030202000 is a wasteful number, since it uses less digits than its factorization.

101030202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101030202000 its reverse (202030101), we get a palindrome (101232232101).

The spelling of 101030202000 in words is "one hundred one billion, thirty million, two hundred two thousand".