100021142132 has 24 divisors (see below), whose sum is σ = 189853622280. Its totient is φ = 45920752640.

The previous prime is 100021142131. The next prime is 100021142147. The reversal of 100021142132 is 231241120001.

It can be written as a sum of positive squares in 4 ways, for example, as 7280184976 + 92740957156 = 85324^2 + 304534^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 100021142132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021142131) 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, 17935007 + ... + 17940582.

It is an arithmetic number, because the mean of its divisors is an integer number (7910567595).

Almost surely, 2^100021142132 is an apocalyptic number.

It is an amenable number.

100021142132 is a deficient number, since it is larger than the sum of its proper divisors (89832480148).

100021142132 is a wasteful number, since it uses less digits than its factorization.

100021142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35875651 (or 35875649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100021142132 its reverse (231241120001), we get a palindrome (331262262133).

The spelling of 100021142132 in words is "one hundred billion, twenty-one million, one hundred forty-two thousand, one hundred thirty-two".