101321203232100 has 72 divisors (see below), whose sum is σ = 298687260291840. Its totient is φ = 26509195306880.

The previous prime is 101321203232083. The next prime is 101321203232129. The reversal of 101321203232100 is 1232302123101.

It is a super-3 number, since 3×101321203232100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186185460 + ... + 3186217259.

It is an arithmetic number, because the mean of its divisors is an integer number (4148434170720).

Almost surely, 2^{101321203232100} is an apocalyptic number.

101321203232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321203232100 is an abundant number, since it is smaller than the sum of its proper divisors (197366057059740).

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

101321203232100 is a wasteful number, since it uses less digits than its factorization.

101321203232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372402789 (or 6372402782 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101321203232100 its reverse (1232302123101), we get a palindrome (102553505355201).

The spelling of 101321203232100 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred three million, two hundred thirty-two thousand, one hundred".