102110010100 has 72 divisors (see below), whose sum is σ = 253475595968. Its totient is φ = 34975584000.

The previous prime is 102110010097. The next prime is 102110010103. The reversal of 102110010100 is 1010011201.

It is an interprime number because it is at equal distance from previous prime (102110010097) and next prime (102110010103).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666304 + ... + 805096.

Almost surely, 2^102110010100 is an apocalyptic number.

102110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126737797984).

102110010100 is an abundant number, since it is smaller than the sum of its proper divisors (151365585868).

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

102110010100 is a wasteful number, since it uses less digits than its factorization.

102110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139865 (or 139858 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102110010100 its reverse (1010011201), we get a palindrome (103120021301).

The spelling of 102110010100 in words is "one hundred two billion, one hundred ten million, ten thousand, one hundred".