10101031041152 has 64 divisors (see below), whose sum is σ = 20217360097440. Its totient is φ = 5026892328960.

The previous prime is 10101031041131. The next prime is 10101031041173. The reversal of 10101031041152 is 25114013010101.

10101031041152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10101031041131) and next prime (10101031041173).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58741283 + ... + 58912989.

Almost surely, 2^{10101031041152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101031041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108680048720).

10101031041152 is an abundant number, since it is smaller than the sum of its proper divisors (10116329056288).

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

10101031041152 is a wasteful number, since it uses less digits than its factorization.

10101031041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173869 (or 173857 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 10101031041152 its reverse (25114013010101), we get a palindrome (35215044051253).

The spelling of 10101031041152 in words is "ten trillion, one hundred one billion, thirty-one million, forty-one thousand, one hundred fifty-two".