101221001000210 has 96 divisors (see below), whose sum is σ = 229060069448112. Its totient is φ = 31920775004160.

The previous prime is 101221001000209. The next prime is 101221001000219. The reversal of 101221001000210 is 12000100122101.

It can be written as a sum of positive squares in 8 ways, for example, as 66529030580089 + 34691970420121 = 8156533^2 + 5889989^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101221001000191 and 101221001000200.

It is not an unprimeable number, because it can be changed into a prime (101221001000219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26484527 + ... + 30064466.

Almost surely, 2^{101221001000210} is an apocalyptic number.

101221001000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221001000210 is an abundant number, since it is smaller than the sum of its proper divisors (127839068447902).

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

101221001000210 is a wasteful number, since it uses less digits than its factorization.

101221001000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56549308 (or 56549301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101221001000210 its reverse (12000100122101), we get a palindrome (113221101122311).

The spelling of 101221001000210 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred ten", and thus it is an aban number.