1010155642000 has 40 divisors (see below), whose sum is σ = 2442556347192. Its totient is φ = 404062256000.

The previous prime is 1010155641881. The next prime is 1010155642031. The reversal of 1010155642000 is 2465510101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 273524816016 + 736630825984 = 522996^2 + 858272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252536911 + ... + 252540910.

Almost surely, 2^{1010155642000} is an apocalyptic number.

1010155642000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010155642000 is an abundant number, since it is smaller than the sum of its proper divisors (1432400705192).

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

1010155642000 is an equidigital number, since it uses as much as digits as its factorization.

1010155642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505077844 (or 505077828 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 1010155642000 in words is "one trillion, ten billion, one hundred fifty-five million, six hundred forty-two thousand".