101002002101010 has 128 divisors (see below), whose sum is σ = 269990954784000. Its totient is φ = 26868658991616.

The previous prime is 101002002101009. The next prime is 101002002101071. The reversal of 101002002101010 is 10101200200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002002100983 and 101002002101001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764122206 + ... + 764254374.

It is an arithmetic number, because the mean of its divisors is an integer number (2109304334250).

Almost surely, 2^{101002002101010} is an apocalyptic number.

101002002101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002002101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134995477392000).

101002002101010 is an abundant number, since it is smaller than the sum of its proper divisors (168988952682990).

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

101002002101010 is a wasteful number, since it uses less digits than its factorization.

101002002101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139017 (or 139011 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002002101010 its reverse (10101200200101), we get a palindrome (111103202301111).

The spelling of 101002002101010 in words is "one hundred one trillion, two billion, two million, one hundred one thousand, ten".