101210840280 has 768 divisors, whose sum is σ = 401054976000. Its totient is φ = 22498099200.

The previous prime is 101210840267. The next prime is 101210840347. The reversal of 101210840280 is 82048012101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 140765761 + ... + 140766479.

It is an arithmetic number, because the mean of its divisors is an integer number (522207000).

Almost surely, 2^101210840280 is an apocalyptic number.

101210840280 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 101210840280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200527488000).

101210840280 is an abundant number, since it is smaller than the sum of its proper divisors (299844135720).

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

101210840280 is a wasteful number, since it uses less digits than its factorization.

101210840280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 101210840280 its reverse (82048012101), we get a palindrome (183258852381).

The spelling of 101210840280 in words is "one hundred one billion, two hundred ten million, eight hundred forty thousand, two hundred eighty".