10242151231620 has 192 divisors, whose sum is σ = 35763362482176. Its totient is φ = 2127706859520.

The previous prime is 10242151231601. The next prime is 10242151231649. The reversal of 10242151231620 is 2613215124201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18329484 + ... + 18879996.

It is an arithmetic number, because the mean of its divisors is an integer number (186267512928).

Almost surely, 2^{10242151231620} is an apocalyptic number.

10242151231620 is a gapful number since it is divisible by the number (10) 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 10242151231620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881681241088).

10242151231620 is an abundant number, since it is smaller than the sum of its proper divisors (25521211250556).

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

10242151231620 is a wasteful number, since it uses less digits than its factorization.

10242151231620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554570 (or 554568 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10242151231620 its reverse (2613215124201), we get a palindrome (12855366355821).

The spelling of 10242151231620 in words is "ten trillion, two hundred forty-two billion, one hundred fifty-one million, two hundred thirty-one thousand, six hundred twenty".