10010121972 has 24 divisors (see below), whose sum is σ = 23361561216. Its totient is φ = 3336048768.

The previous prime is 10010121923. The next prime is 10010121973. The reversal of 10010121972 is 27912101001.

10010121972 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 not an unprimeable number, because it can be changed into a prime (10010121973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16908 + ... + 142499.

It is an arithmetic number, because the mean of its divisors is an integer number (973398384).

Almost surely, 2^10010121972 is an apocalyptic number.

10010121972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010121972 is an abundant number, since it is smaller than the sum of its proper divisors (13351439244).

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

10010121972 is a wasteful number, since it uses less digits than its factorization.

10010121972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164647 (or 164645 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

Adding to 10010121972 its reverse (27912101001), we get a palindrome (37922222973).

The spelling of 10010121972 in words is "ten billion, ten million, one hundred twenty-one thousand, nine hundred seventy-two".