20100030003120 has 160 divisors (see below), whose sum is σ = 62751273661440. Its totient is φ = 5322148623360.

The previous prime is 20100030003113. The next prime is 20100030003233. The reversal of 20100030003120 is 2130003000102.

It is a happy number.

It is a super-2 number, since 2×20100030003120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20100030003096 and 20100030003105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27748101 + ... + 28463259.

It is an arithmetic number, because the mean of its divisors is an integer number (392195460384).

Almost surely, 2^{20100030003120} is an apocalyptic number.

20100030003120 is a gapful number since it is divisible by the number (20) 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 20100030003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31375636830720).

20100030003120 is an abundant number, since it is smaller than the sum of its proper divisors (42651243658320).

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

20100030003120 is a wasteful number, since it uses less digits than its factorization.

20100030003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716003 (or 715997 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20100030003120 its reverse (2130003000102), we get a palindrome (22230033003222).

The spelling of 20100030003120 in words is "twenty trillion, one hundred billion, thirty million, three thousand, one hundred twenty".