10102211212001 has 32 divisors (see below), whose sum is σ = 10947317184000. Its totient is φ = 9286617733120.

The previous prime is 10102211211997. The next prime is 10102211212019. The reversal of 10102211212001 is 10021211220101.

It is not a de Polignac number, because 10102211212001 - 2² = 10102211211997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102211212901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001105966 + ... + 1001116056.

It is an arithmetic number, because the mean of its divisors is an integer number (342103662000).

Almost surely, 2^{10102211212001} is an apocalyptic number.

It is an amenable number.

10102211212001 is a deficient number, since it is larger than the sum of its proper divisors (845105971999).

10102211212001 is a wasteful number, since it uses less digits than its factorization.

10102211212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15049.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102211212001 its reverse (10021211220101), we get a palindrome (20123422432102).

It can be divided in two parts, 1010221 and 1212001, that added together give a palindrome (2222222).

The spelling of 10102211212001 in words is "ten trillion, one hundred two billion, two hundred eleven million, two hundred twelve thousand, one".