10201520346552 has 48 divisors (see below), whose sum is σ = 27629422821000. Its totient is φ = 3400469217216.

The previous prime is 10201520346541. The next prime is 10201520346553. The reversal of 10201520346552 is 25564302510201.

10201520346552 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 52 + 0 + 34 + 6 + 552 = 666.

It is a super-2 number, since 2×10201520346552² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201520346553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6211399 + ... + 7680137.

Almost surely, 2^{10201520346552} is an apocalyptic number.

10201520346552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201520346552 is an abundant number, since it is smaller than the sum of its proper divisors (17427902474448).

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

10201520346552 is a wasteful number, since it uses less digits than its factorization.

10201520346552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565220 (or 1565213 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10201520346552 its reverse (25564302510201), we get a palindrome (35765822856753).

The spelling of 10201520346552 in words is "ten trillion, two hundred one billion, five hundred twenty million, three hundred forty-six thousand, five hundred fifty-two".