102100511400 has 96 divisors (see below), whose sum is σ = 316582594560. Its totient is φ = 27220695040.

The previous prime is 102100511393. The next prime is 102100511407. The reversal of 102100511400 is 4115001201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102100511393) and next prime (102100511407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102100511400.

It is not an unprimeable number, because it can be changed into a prime (102100511407) 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, 3075289 + ... + 3108311.

It is an arithmetic number, because the mean of its divisors is an integer number (3297735360).

Almost surely, 2^102100511400 is an apocalyptic number.

102100511400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100511400 is an abundant number, since it is smaller than the sum of its proper divisors (214482083160).

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

102100511400 is a wasteful number, since it uses less digits than its factorization.

102100511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38195 (or 38186 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 102100511400 its reverse (4115001201), we get a palindrome (106215512601).

The spelling of 102100511400 in words is "one hundred two billion, one hundred million, five hundred eleven thousand, four hundred".