101211112010010 has 64 divisors (see below), whose sum is σ = 260318310250752. Its totient is φ = 25118433432576.

The previous prime is 101211112010003. The next prime is 101211112010053. The reversal of 101211112010010 is 10010211112101.

It is a Curzon number.

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, 1982174079 + ... + 1982225138.

It is an arithmetic number, because the mean of its divisors is an integer number (4067473597668).

Almost surely, 2^{101211112010010} is an apocalyptic number.

101211112010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211112010010 is an abundant number, since it is smaller than the sum of its proper divisors (159107198240742).

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

101211112010010 is a wasteful number, since it uses less digits than its factorization.

101211112010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964399287.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211112010010 its reverse (10010211112101), we get a palindrome (111221323122111).

The spelling of 101211112010010 in words is "one hundred one trillion, two hundred eleven billion, one hundred twelve million, ten thousand, ten".