1010141634100 has 36 divisors (see below), whose sum is σ = 2205133174944. Its totient is φ = 401637146080.

The previous prime is 1010141634041. The next prime is 1010141634101. The reversal of 1010141634100 is 14361410101.

It is a happy number.

It is a super-2 number, since 2×1010141634100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010141634101) 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, 30227062 + ... + 30260461.

It is an arithmetic number, because the mean of its divisors is an integer number (61253699304).

Almost surely, 2^{1010141634100} is an apocalyptic number.

1010141634100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010141634100 is an abundant number, since it is smaller than the sum of its proper divisors (1194991540844).

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

1010141634100 is a wasteful number, since it uses less digits than its factorization.

1010141634100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60487704 (or 60487697 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 1010141634100 in words is "one trillion, ten billion, one hundred forty-one million, six hundred thirty-four thousand, one hundred".