10042012153100 has 36 divisors (see below), whose sum is σ = 21921652434864. Its totient is φ = 3992752130880.

The previous prime is 10042012153087. The next prime is 10042012153109. The reversal of 10042012153100 is 135121024001.

It is a super-3 number, since 3×10042012153100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10042012153109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300642347 + ... + 300675746.

Almost surely, 2^{10042012153100} is an apocalyptic number.

10042012153100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042012153100 is an abundant number, since it is smaller than the sum of its proper divisors (11879640281764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10042012153100 is a wasteful number, since it uses less digits than its factorization.

10042012153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601318274 (or 601318267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10042012153100 its reverse (135121024001), we get a palindrome (10177133177101).

The spelling of 10042012153100 in words is "ten trillion, forty-two billion, twelve million, one hundred fifty-three thousand, one hundred".