10012120222104 has 288 divisors, whose sum is σ = 36683528787360. Its totient is φ = 2400508154880.

The previous prime is 10012120222061. The next prime is 10012120222109. The reversal of 10012120222104 is 40122202121001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012120222109) 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 71 ways as a sum of consecutive naturals, for example, 5521677 + ... + 7107260.

It is an arithmetic number, because the mean of its divisors is an integer number (127373363845).

Almost surely, 2^{10012120222104} is an apocalyptic number.

10012120222104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10012120222104 is an abundant number, since it is smaller than the sum of its proper divisors (26671408565256).

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

10012120222104 is a wasteful number, since it uses less digits than its factorization.

10012120222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628991 (or 12628973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10012120222104 its reverse (40122202121001), we get a palindrome (50134322343105).

It can be divided in two parts, 1001212022 and 2104, that added together give a triangular number (1001214126 = T₄₄₇₄₈).

The spelling of 10012120222104 in words is "ten trillion, twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred four".