101302212321220 has 24 divisors (see below), whose sum is σ = 212743952405208. Its totient is φ = 40519112256000.

The previous prime is 101302212321203. The next prime is 101302212321221. The reversal of 101302212321220 is 22123212203101.

It can be written as a sum of positive squares in 4 ways, for example, as 4302878138244 + 96999334182976 = 2074338^2 + 9848824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101302212321191 and 101302212321200.

It is not an unprimeable number, because it can be changed into a prime (101302212321221) 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, 110323381 + ... + 111237820.

It is an arithmetic number, because the mean of its divisors is an integer number (8864331350217).

Almost surely, 2^{101302212321220} is an apocalyptic number.

101302212321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101302212321220 is an abundant number, since it is smaller than the sum of its proper divisors (111441740083988).

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

101302212321220 is a wasteful number, since it uses less digits than its factorization.

101302212321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221584071 (or 221584069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101302212321220 its reverse (22123212203101), we get a palindrome (123425424524321).

The spelling of 101302212321220 in words is "one hundred one trillion, three hundred two billion, two hundred twelve million, three hundred twenty-one thousand, two hundred twenty".