101202332201120 has 48 divisors (see below), whose sum is σ = 241457742634248. Its totient is φ = 40080131558400.

The previous prime is 101202332201063. The next prime is 101202332201149. The reversal of 101202332201120 is 21102233202101.

It can be written as a sum of positive squares in 4 ways, for example, as 75527154084496 + 25675178116624 = 8690636^2 + 5067068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101202332201092 and 101202332201101.

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 7 ways as a sum of consecutive naturals, for example, 3131244119 + ... + 3131276438.

Almost surely, 2^{101202332201120} is an apocalyptic number.

101202332201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202332201120 is an abundant number, since it is smaller than the sum of its proper divisors (140255410433128).

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

101202332201120 is a wasteful number, since it uses less digits than its factorization.

101202332201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262520673 (or 6262520665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101202332201120 its reverse (21102233202101), we get a palindrome (122304565403221).

The spelling of 101202332201120 in words is "one hundred one trillion, two hundred two billion, three hundred thirty-two million, two hundred one thousand, one hundred twenty".