100142121 has 32 divisors (see below), whose sum is σ = 147667968. Its totient is φ = 60088320.

The previous prime is 100142117. The next prime is 100142123. The reversal of 100142121 is 121241001.

It is a happy number.

It is not a de Polignac number, because 100142121 - 2² = 100142117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100142097 and 100142106.

It is not an unprimeable number, because it can be changed into a prime (100142123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153031 + ... + 153683.

It is an arithmetic number, because the mean of its divisors is an integer number (4614624).

Almost surely, 2^100142121 is an apocalyptic number.

It is an amenable number.

100142121 is a deficient number, since it is larger than the sum of its proper divisors (47525847).

100142121 is a wasteful number, since it uses less digits than its factorization.

100142121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100142121 is about 10007.1035269952. The cubic root of 100142121 is about 464.3786683561.

Adding to 100142121 its reverse (121241001), we get a palindrome (221383122).

The spelling of 100142121 in words is "one hundred million, one hundred forty-two thousand, one hundred twenty-one".