101302000201000 has 128 divisors (see below), whose sum is σ = 239679209952000. Its totient is φ = 40071752160000.

The previous prime is 101302000200971. The next prime is 101302000201037. The reversal of 101302000201000 is 102000203101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 84141271 + ... + 85336729.

It is an arithmetic number, because the mean of its divisors is an integer number (1872493827750).

Almost surely, 2^{101302000201000} is an apocalyptic number.

101302000201000 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 101302000201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119839604976000).

101302000201000 is an abundant number, since it is smaller than the sum of its proper divisors (138377209751000).

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

101302000201000 is a wasteful number, since it uses less digits than its factorization.

101302000201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196420 (or 1196406 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101302000201000 its reverse (102000203101), we get a palindrome (101404000404101).

The spelling of 101302000201000 in words is "one hundred one trillion, three hundred two billion, two hundred one thousand".