101221001000200 has 96 divisors (see below), whose sum is σ = 235625907492360. Its totient is φ = 40439018188800.

The previous prime is 101221001000179. The next prime is 101221001000201. The reversal of 101221001000200 is 2000100122101.

It can be written as a sum of positive squares in 12 ways, for example, as 16621586533764 + 84599414466436 = 4076958^2 + 9197794^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101221001000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3554468362 + ... + 3554496838.

Almost surely, 2^{101221001000200} is an apocalyptic number.

101221001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221001000200 is an abundant number, since it is smaller than the sum of its proper divisors (134404906492160).

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

101221001000200 is a wasteful number, since it uses less digits than its factorization.

101221001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49547 (or 49538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101221001000200 its reverse (2000100122101), we get a palindrome (103221101122301).

The spelling of 101221001000200 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred", and thus it is an aban number.