101552121 has 48 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 59270400.

The previous prime is 101552089. The next prime is 101552137. The reversal of 101552121 is 121255101.

101552121 is a `hidden beast` number, since 101 + 552 + 12 + 1 = 666.

It is not a de Polignac number, because 101552121 - 2⁵ = 101552089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101552094 and 101552103.

It is not an unprimeable number, because it can be changed into a prime (101552141) 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, 515395 + ... + 515591.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2^101552121 is an apocalyptic number.

101552121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101552121 is a deficient number, since it is larger than the sum of its proper divisors (64501767).

101552121 is a wasteful number, since it uses less digits than its factorization.

101552121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 101552121 is about 10077.3072296125. The cubic root of 101552121 is about 466.5480008368.

The spelling of 101552121 in words is "one hundred one million, five hundred fifty-two thousand, one hundred twenty-one".