101021120101120 has 144 divisors (see below), whose sum is σ = 244252822302720. Its totient is φ = 40029393825792.

The previous prime is 101021120101081. The next prime is 101021120101129. The reversal of 101021120101120 is 21101021120101.

It is a happy number.

It is a super-2 number, since 2×101021120101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101021120101120.

It is not an unprimeable number, because it can be changed into a prime (101021120101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106655539 + ... + 107598541.

It is an arithmetic number, because the mean of its divisors is an integer number (1696200154880).

Almost surely, 2^{101021120101120} is an apocalyptic number.

101021120101120 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 101021120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122126411151360).

101021120101120 is an abundant number, since it is smaller than the sum of its proper divisors (143231702201600).

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

101021120101120 is an equidigital number, since it uses as much as digits as its factorization.

101021120101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943810 (or 943796 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021120101120 its reverse (21101021120101), we get a palindrome (122122141221221).

The spelling of 101021120101120 in words is "one hundred one trillion, twenty-one billion, one hundred twenty million, one hundred one thousand, one hundred twenty".