101201001202212 has 96 divisors (see below), whose sum is σ = 245842273152000. Its totient is φ = 32362475252352.

The previous prime is 101201001202141. The next prime is 101201001202229. The reversal of 101201001202212 is 212202100102101.

It is a super-2 number, since 2×101201001202212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201001202191 and 101201001202200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38461539 + ... + 41008437.

It is an arithmetic number, because the mean of its divisors is an integer number (2560857012000).

Almost surely, 2^{101201001202212} is an apocalyptic number.

101201001202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201001202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122921136576000).

101201001202212 is an abundant number, since it is smaller than the sum of its proper divisors (144641271949788).

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

101201001202212 is a wasteful number, since it uses less digits than its factorization.

101201001202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547665 (or 2547663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101201001202212 its reverse (212202100102101), we get a palindrome (313403101304313).

The spelling of 101201001202212 in words is "one hundred one trillion, two hundred one billion, one million, two hundred two thousand, two hundred twelve".