2102420100 has 72 divisors (see below), whose sum is σ = 6636012768. Its totient is φ = 509676800.

The previous prime is 2102420081. The next prime is 2102420119. The reversal of 2102420100 is 10242012.

It is an interprime number because it is at equal distance from previous prime (2102420081) and next prime (2102420119).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315249 + ... + 321848.

It is an arithmetic number, because the mean of its divisors is an integer number (92166844).

Almost surely, 2^2102420100 is an apocalyptic number.

2102420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102420100 is an abundant number, since it is smaller than the sum of its proper divisors (4533592668).

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

2102420100 is a wasteful number, since it uses less digits than its factorization.

2102420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637125 (or 637118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102420100 is about 45852.1548021464. The cubic root of 2102420100 is about 1281.0709014780.

Adding to 2102420100 its reverse (10242012), we get a palindrome (2112662112).

The spelling of 2102420100 in words is "two billion, one hundred two million, four hundred twenty thousand, one hundred".