101102121201220 has 24 divisors (see below), whose sum is σ = 212416479816408. Its totient is φ = 40421415091200.

The previous prime is 101102121201161. The next prime is 101102121201229. The reversal of 101102121201220 is 22102121201101.

It can be written as a sum of positive squares in 4 ways, for example, as 34115131545856 + 66986989655364 = 5840816^2 + 8184558^2 .

It is a super-2 number, since 2×101102121201220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102121201194 and 101102121201203.

It is not an unprimeable number, because it can be changed into a prime (101102121201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214544171 + ... + 1214627410.

It is an arithmetic number, because the mean of its divisors is an integer number (8850686659017).

Almost surely, 2^{101102121201220} is an apocalyptic number.

101102121201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102121201220 is an abundant number, since it is smaller than the sum of its proper divisors (111314358615188).

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

101102121201220 is a wasteful number, since it uses less digits than its factorization.

101102121201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429173671 (or 2429173669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101102121201220 its reverse (22102121201101), we get a palindrome (123204242402321).

The spelling of 101102121201220 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty".