101002201212000 has 384 divisors, whose sum is σ = 361997947584000. Its totient is φ = 24415212288000.

The previous prime is 101002201211987. The next prime is 101002201212013. The reversal of 101002201212000 is 212102200101.

It is an interprime number because it is at equal distance from previous prime (101002201211987) and next prime (101002201212013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44971771 + ... + 47164229.

It is an arithmetic number, because the mean of its divisors is an integer number (942702988500).

Almost surely, 2^{101002201212000} is an apocalyptic number.

101002201212000 is a gapful number since it is divisible by the number (10) 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 101002201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180998973792000).

101002201212000 is an abundant number, since it is smaller than the sum of its proper divisors (260995746372000).

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

101002201212000 is a wasteful number, since it uses less digits than its factorization.

101002201212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192847 (or 2192829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101002201212000 its reverse (212102200101), we get a palindrome (101214303412101).

The spelling of 101002201212000 in words is "one hundred one trillion, two billion, two hundred one million, two hundred twelve thousand".