101221122211120 has 40 divisors (see below), whose sum is σ = 235362880208880. Its totient is φ = 40484359238400.

The previous prime is 101221122211103. The next prime is 101221122211129. The reversal of 101221122211120 is 21112221122101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (101221122211129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63103690 + ... + 64687849.

It is an arithmetic number, because the mean of its divisors is an integer number (5884072005222).

Almost surely, 2^{101221122211120} is an apocalyptic number.

101221122211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221122211120 is an abundant number, since it is smaller than the sum of its proper divisors (134141757997760).

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

101221122211120 is a wasteful number, since it uses less digits than its factorization.

101221122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127801453 (or 127801447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101221122211120 its reverse (21112221122101), we get a palindrome (122333343333221).

The spelling of 101221122211120 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".