101021341300 has 144 divisors (see below), whose sum is σ = 254229353280. Its totient is φ = 34456320000.

The previous prime is 101021341193. The next prime is 101021341367. The reversal of 101021341300 is 3143120101.

It is a super-2 number, since 2×101021341300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086972 + ... + 2134828.

It is an arithmetic number, because the mean of its divisors is an integer number (1765481620).

Almost surely, 2^101021341300 is an apocalyptic number.

101021341300 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 101021341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127114676640).

101021341300 is an abundant number, since it is smaller than the sum of its proper divisors (153208011980).

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

101021341300 is a wasteful number, since it uses less digits than its factorization.

101021341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48002 (or 47995 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101021341300 its reverse (3143120101), we get a palindrome (104164461401).

The spelling of 101021341300 in words is "one hundred one billion, twenty-one million, three hundred forty-one thousand, three hundred".