101211012100010 has 16 divisors (see below), whose sum is σ = 182293047304200. Its totient is φ = 40459243612416.

The previous prime is 101211012100007. The next prime is 101211012100031. The reversal of 101211012100010 is 10001210112101.

It can be written as a sum of positive squares in 4 ways, for example, as 97253383294369 + 3957628805641 = 9861713^2 + 1989379^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101211012099964 and 101211012100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3145136555 + ... + 3145168734.

Almost surely, 2^{101211012100010} is an apocalyptic number.

101211012100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211012100010 is a deficient number, since it is larger than the sum of its proper divisors (81082035204190).

101211012100010 is a wasteful number, since it uses less digits than its factorization.

101211012100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290306905.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101211012100010 its reverse (10001210112101), we get a palindrome (111212222212111).

The spelling of 101211012100010 in words is "one hundred one trillion, two hundred eleven billion, twelve million, one hundred thousand, ten".