101302020000 has 180 divisors, whose sum is σ = 359982432810. Its totient is φ = 27013824000.

The previous prime is 101302019981. The next prime is 101302020013. The reversal of 101302020000 is 20203101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 21513848976 + 79788171024 = 146676^2 + 282468^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 101395 + ... + 461394.

Almost surely, 2^101302020000 is an apocalyptic number.

101302020000 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 101302020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179991216405).

101302020000 is an abundant number, since it is smaller than the sum of its proper divisors (258680412810).

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

101302020000 is an equidigital number, since it uses as much as digits as its factorization.

101302020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562825 (or 562799 counting only the distinct ones).

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

Adding to 101302020000 its reverse (20203101), we get a palindrome (101322223101).

The spelling of 101302020000 in words is "one hundred one billion, three hundred two million, twenty thousand".