10721011701100 has 36 divisors (see below), whose sum is σ = 23264852452408. Its totient is φ = 4288357296000.

The previous prime is 10721011701083. The next prime is 10721011701149. The reversal of 10721011701100 is 110711012701.

It is a super-2 number, since 2×10721011701100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9330160 + ... + 10416040.

Almost surely, 2^{10721011701100} is an apocalyptic number.

10721011701100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10721011701100 is an abundant number, since it is smaller than the sum of its proper divisors (12543840751308).

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

10721011701100 is a wasteful number, since it uses less digits than its factorization.

10721011701100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184626 (or 1184619 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 22.

Adding to 10721011701100 its reverse (110711012701), we get a palindrome (10831722713801).

The spelling of 10721011701100 in words is "ten trillion, seven hundred twenty-one billion, eleven million, seven hundred one thousand, one hundred".