101220101222121 has 48 divisors (see below), whose sum is σ = 169035372874368. Its totient is φ = 57169822464000.

The previous prime is 101220101222113. The next prime is 101220101222129. The reversal of 101220101222121 is 121222101022101.

101220101222121 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 101 + 222 + 121 = 666.

101220101222121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101220101222113) and next prime (101220101222129).

It is not a de Polignac number, because 101220101222121 - 2³ = 101220101222113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220101222094 and 101220101222103.

It is not an unprimeable number, because it can be changed into a prime (101220101222129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9814840 + ... + 17285001.

It is an arithmetic number, because the mean of its divisors is an integer number (3521570268216).

Almost surely, 2^{101220101222121} is an apocalyptic number.

It is an amenable number.

101220101222121 is a deficient number, since it is larger than the sum of its proper divisors (67815271652247).

101220101222121 is a wasteful number, since it uses less digits than its factorization.

101220101222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27100542 (or 27100539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101220101222121 its reverse (121222101022101), we get a palindrome (222442202244222).

The spelling of 101220101222121 in words is "one hundred one trillion, two hundred twenty billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-one".