101000221211120 has 80 divisors (see below), whose sum is σ = 292769472411648. Its totient is φ = 31480588427520.

The previous prime is 101000221211083. The next prime is 101000221211161. The reversal of 101000221211120 is 21112122000101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101000221211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101000221211095 and 101000221211104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8198063744 + ... + 8198076063.

Almost surely, 2^{101000221211120} is an apocalyptic number.

101000221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000221211120 is an abundant number, since it is smaller than the sum of its proper divisors (191769251200528).

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

101000221211120 is a wasteful number, since it uses less digits than its factorization.

101000221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16396139838 (or 16396139832 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101000221211120 its reverse (21112122000101), we get a palindrome (122112343211221).

The spelling of 101000221211120 in words is "one hundred one trillion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".