101120121102 has 256 divisors, whose sum is σ = 281152585728. Its totient is φ = 23397050880.

The previous prime is 101120121101. The next prime is 101120121143. The reversal of 101120121102 is 201121021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28220403 + ... + 28223985.

It is an arithmetic number, because the mean of its divisors is an integer number (1098252288).

Almost surely, 2^101120121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140576292864).

101120121102 is an abundant number, since it is smaller than the sum of its proper divisors (180032464626).

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

101120121102 is a wasteful number, since it uses less digits than its factorization.

101120121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120121102 its reverse (201121021101), we get a palindrome (302241142203).

It can be divided in two parts, 101120 and 121102, that added together give a palindrome (222222).

The spelling of 101120121102 in words is "one hundred one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred two".