101121201216002 has 128 divisors (see below), whose sum is σ = 171297765273600. Its totient is φ = 44380633024000.

The previous prime is 101121201216001. The next prime is 101121201216017. The reversal of 101121201216002 is 200612102121101.

It is not an unprimeable number, because it can be changed into a prime (101121201216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17431681502 + ... + 17431687302.

It is an arithmetic number, because the mean of its divisors is an integer number (1338263791200).

Almost surely, 2^{101121201216002} is an apocalyptic number.

101121201216002 is a deficient number, since it is larger than the sum of its proper divisors (70176564057598).

101121201216002 is a wasteful number, since it uses less digits than its factorization.

101121201216002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101121201216002 its reverse (200612102121101), we get a palindrome (301733303337103).

The spelling of 101121201216002 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, two hundred sixteen thousand, two".