101002102420 has 24 divisors (see below), whose sum is σ = 212132224584. Its totient is φ = 40395543936.

The previous prime is 101002102417. The next prime is 101002102423. The reversal of 101002102420 is 24201200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002102417) and next prime (101002102423).

It can be written as a sum of positive squares in 4 ways, for example, as 31104260496 + 69897841924 = 176364^2 + 264382^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101002102420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002102423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172867 + ... + 481546.

It is an arithmetic number, because the mean of its divisors is an integer number (8838842691).

Almost surely, 2^101002102420 is an apocalyptic number.

101002102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002102420 is an abundant number, since it is smaller than the sum of its proper divisors (111130122164).

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

101002102420 is a wasteful number, since it uses less digits than its factorization.

101002102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662139 (or 662137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002102420 its reverse (24201200101), we get a palindrome (125203302521).

The spelling of 101002102420 in words is "one hundred one billion, two million, one hundred two thousand, four hundred twenty".