101002012112221 has 8 divisors (see below), whose sum is σ = 110645034192000. Its totient is φ = 91435826862240.

The previous prime is 101002012112179. The next prime is 101002012112233. The reversal of 101002012112221 is 122211210200101.

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

It is a cyclic number.

It is not a de Polignac number, because 101002012112221 - 2³¹ = 100999864628573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002012112195 and 101002012112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002012142221) 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, 19209204696 + ... + 19209209953.

It is an arithmetic number, because the mean of its divisors is an integer number (13830629274000).

Almost surely, 2^{101002012112221} is an apocalyptic number.

101002012112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002012112221 is a deficient number, since it is larger than the sum of its proper divisors (9643022079779).

101002012112221 is a wasteful number, since it uses less digits than its factorization.

101002012112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38418414899.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101002012112221 its reverse (122211210200101), we get a palindrome (223213222312322).

The spelling of 101002012112221 in words is "one hundred one trillion, two billion, twelve million, one hundred twelve thousand, two hundred twenty-one".