101211200100010 has 256 divisors, whose sum is σ = 256142627758080. Its totient is φ = 27755191157760.

The previous prime is 101211200100001. The next prime is 101211200100053. The reversal of 101211200100010 is 10001002112101.

It is a super-3 number, since 3×101211200100010³ (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101211200100010.

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 127 ways as a sum of consecutive naturals, for example, 64378396 + ... + 65931784.

It is an arithmetic number, because the mean of its divisors is an integer number (1000557139680).

Almost surely, 2^{101211200100010} is an apocalyptic number.

101211200100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211200100010 is an abundant number, since it is smaller than the sum of its proper divisors (154931427658070).

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

101211200100010 is a wasteful number, since it uses less digits than its factorization.

101211200100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553733.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101211200100010 its reverse (10001002112101), we get a palindrome (111212202212111).

The spelling of 101211200100010 in words is "one hundred one trillion, two hundred eleven billion, two hundred million, one hundred thousand, ten".