101012201010 has 336 divisors, whose sum is σ = 321030573696. Its totient is φ = 22803633216.

The previous prime is 101012200999. The next prime is 101012201011. The reversal of 101012201010 is 10102210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101012200983 and 101012201001.

It is not an unprimeable number, because it can be changed into a prime (101012201011) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29646727 + ... + 29650133.

It is an arithmetic number, because the mean of its divisors is an integer number (955448136).

Almost surely, 2^101012201010 is an apocalyptic number.

101012201010 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 101012201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160515286848).

101012201010 is an abundant number, since it is smaller than the sum of its proper divisors (220018372686).

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

101012201010 is an equidigital number, since it uses as much as digits as its factorization.

101012201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012201010 its reverse (10102210101), we get a palindrome (111114411111).

Subtracting from 101012201010 its reverse (10102210101), we obtain a palindrome (90909990909).

The spelling of 101012201010 in words is "one hundred one billion, twelve million, two hundred one thousand, ten".