61242220010100 has 144 divisors (see below), whose sum is σ = 178325997405696. Its totient is φ = 16227019248000.

The previous prime is 61242220009979. The next prime is 61242220010117. The reversal of 61242220010100 is 101002224216.

61242220010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 126561615 + ... + 127044585.

It is an arithmetic number, because the mean of its divisors is an integer number (1238374981984).

Almost surely, 2^{61242220010100} is an apocalyptic number.

61242220010100 is a gapful number since it is divisible by the number (60) 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 61242220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89162998702848).

61242220010100 is an abundant number, since it is smaller than the sum of its proper divisors (117083777395596).

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

61242220010100 is a wasteful number, since it uses less digits than its factorization.

61242220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485686 (or 485679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 61242220010100 its reverse (101002224216), we get a palindrome (61343222234316).

The spelling of 61242220010100 in words is "sixty-one trillion, two hundred forty-two billion, two hundred twenty million, ten thousand, one hundred".