101121221212001 has 8 divisors (see below), whose sum is σ = 101595963834240. Its totient is φ = 100647561242448.

The previous prime is 101121221211971. The next prime is 101121221212003. The reversal of 101121221212001 is 100212122121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121221212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121221212003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270475931 + ... + 270849536.

It is an arithmetic number, because the mean of its divisors is an integer number (12699495479280).

Almost surely, 2^{101121221212001} is an apocalyptic number.

It is an amenable number.

101121221212001 is a deficient number, since it is larger than the sum of its proper divisors (474742622239).

101121221212001 is an equidigital number, since it uses as much as digits as its factorization.

101121221212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541326343.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121221212001 its reverse (100212122121101), we get a palindrome (201333343333102).

It can be divided in two parts, 101121 and 221212001, that added together give a palindrome (221313122).

The spelling of 101121221212001 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, one".