10151321217400 has 192 divisors, whose sum is σ = 27444978900000. Its totient is φ = 3450929971200.

The previous prime is 10151321217397. The next prime is 10151321217421. The reversal of 10151321217400 is 471212315101.

10151321217400 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4661776 + ... + 6483424.

Almost surely, 2^{10151321217400} is an apocalyptic number.

10151321217400 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 10151321217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722489450000).

10151321217400 is an abundant number, since it is smaller than the sum of its proper divisors (17293657682600).

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

10151321217400 is a wasteful number, since it uses less digits than its factorization.

10151321217400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821842 (or 1821833 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 10151321217400 in words is "ten trillion, one hundred fifty-one billion, three hundred twenty-one million, two hundred seventeen thousand, four hundred".