101026144002 has 64 divisors (see below), whose sum is σ = 240092709120. Its totient is φ = 27727746816.

The previous prime is 101026143853. The next prime is 101026144007. The reversal of 101026144002 is 200441620101.

It is a happy number.

101026144002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101026144002.

It is not an unprimeable number, because it can be changed into a prime (101026144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29428 + ... + 450464.

It is an arithmetic number, because the mean of its divisors is an integer number (3751448580).

Almost surely, 2^101026144002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101026144002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120046354560).

101026144002 is an abundant number, since it is smaller than the sum of its proper divisors (139066565118).

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

101026144002 is a wasteful number, since it uses less digits than its factorization.

101026144002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421275.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101026144002 its reverse (200441620101), we get a palindrome (301467764103).

The spelling of 101026144002 in words is "one hundred one billion, twenty-six million, one hundred forty-four thousand, two".