101211021010200 has 384 divisors, whose sum is σ = 317251457107200. Its totient is φ = 26690467921920.

The previous prime is 101211021010123. The next prime is 101211021010207. The reversal of 101211021010200 is 2010120112101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211021010207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47899204344 + ... + 47899206456.

It is an arithmetic number, because the mean of its divisors is an integer number (826175669550).

Almost surely, 2^{101211021010200} is an apocalyptic number.

101211021010200 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 101211021010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158625728553600).

101211021010200 is an abundant number, since it is smaller than the sum of its proper divisors (216040436097000).

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

101211021010200 is a wasteful number, since it uses less digits than its factorization.

101211021010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211021010200 its reverse (2010120112101), we get a palindrome (103221141122301).

The spelling of 101211021010200 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, ten thousand, two hundred".