101300013210 has 128 divisors (see below), whose sum is σ = 271954464768. Its totient is φ = 23938400000.

The previous prime is 101300013197. The next prime is 101300013211. The reversal of 101300013210 is 12310003101.

It is not an unprimeable number, because it can be changed into a prime (101300013211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3880000 + ... + 3906020.

It is an arithmetic number, because the mean of its divisors is an integer number (2124644256).

Almost surely, 2^101300013210 is an apocalyptic number.

101300013210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101300013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135977232384).

101300013210 is an abundant number, since it is smaller than the sum of its proper divisors (170654451558).

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

101300013210 is a wasteful number, since it uses less digits than its factorization.

101300013210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26340.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101300013210 its reverse (12310003101), we get a palindrome (113610016311).

The spelling of 101300013210 in words is "one hundred one billion, three hundred million, thirteen thousand, two hundred ten".