10141114002100 has 36 divisors (see below), whose sum is σ = 22200962695884. Its totient is φ = 4020547847680.

The previous prime is 10141114002053. The next prime is 10141114002121. The reversal of 10141114002100 is 120041114101.

It can be written as a sum of positive squares in 6 ways, for example, as 82498775076 + 10058615227024 = 287226^2 + 3171532^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448710559 + ... + 448733158.

It is an arithmetic number, because the mean of its divisors is an integer number (616693408219).

Almost surely, 2^{10141114002100} is an apocalyptic number.

10141114002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141114002100 is an abundant number, since it is smaller than the sum of its proper divisors (12059848693784).

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

10141114002100 is a wasteful number, since it uses less digits than its factorization.

10141114002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897443844 (or 897443837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10141114002100 its reverse (120041114101), we get a palindrome (10261155116201).

The spelling of 10141114002100 in words is "ten trillion, one hundred forty-one billion, one hundred fourteen million, two thousand, one hundred".