10101377280 has 144 divisors (see below), whose sum is σ = 33302352384. Its totient is φ = 2606776320.

The previous prime is 10101377261. The next prime is 10101377329. The reversal of 10101377280 is 8277310101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76612 + ... + 161468.

It is an arithmetic number, because the mean of its divisors is an integer number (231266336).

Almost surely, 2^10101377280 is an apocalyptic number.

10101377280 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 10101377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651176192).

10101377280 is an abundant number, since it is smaller than the sum of its proper divisors (23200975104).

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

10101377280 is an equidigital number, since it uses as much as digits as its factorization.

10101377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84912 (or 84898 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

Adding to 10101377280 its reverse (8277310101), we get a palindrome (18378687381).

The spelling of 10101377280 in words is "ten billion, one hundred one million, three hundred seventy-seven thousand, two hundred eighty".