101211122120010 has 48 divisors (see below), whose sum is σ = 282564928698336. Its totient is φ = 23133970769952.

The previous prime is 101211122119951. The next prime is 101211122120033. The reversal of 101211122120010 is 10021221112101.

It is a happy number.

101211122120010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34425550272 + ... + 34425553211.

It is an arithmetic number, because the mean of its divisors is an integer number (5886769347882).

Almost surely, 2^{101211122120010} is an apocalyptic number.

101211122120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211122120010 is an abundant number, since it is smaller than the sum of its proper divisors (181353806578326).

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

101211122120010 is a wasteful number, since it uses less digits than its factorization.

101211122120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68851103507 (or 68851103500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211122120010 its reverse (10021221112101), we get a palindrome (111232343232111).

The spelling of 101211122120010 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, ten".