101022211220000 has 180 divisors, whose sum is σ = 289106088461190. Its totient is φ = 34636186368000.

The previous prime is 101022211219999. The next prime is 101022211220011. The reversal of 101022211220000 is 22112220101.

It can be written as a sum of positive squares in 5 ways, for example, as 237718654096 + 100784492565904 = 487564^2 + 10039148^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 50561945 + ... + 52521944.

Almost surely, 2^{101022211220000} is an apocalyptic number.

101022211220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022211220000 is an abundant number, since it is smaller than the sum of its proper divisors (188083877241190).

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

101022211220000 is an equidigital number, since it uses as much as digits as its factorization.

101022211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103083933 (or 103083903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022211220000 its reverse (22112220101), we get a palindrome (101044323440101).

The spelling of 101022211220000 in words is "one hundred one trillion, twenty-two billion, two hundred eleven million, two hundred twenty thousand".