102051111110400 has 162 divisors, whose sum is σ = 364855754794440. Its totient is φ = 27213629614080.

The previous prime is 102051111110383. The next prime is 102051111110461. The reversal of 102051111110400 is 4011111150201.

102051111110400 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 511 + 1 + 1 + 110 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 885802740 + ... + 885917939.

Almost surely, 2^{102051111110400} is an apocalyptic number.

102051111110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102051111110400 is an abundant number, since it is smaller than the sum of its proper divisors (262804643684040).

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

102051111110400 is a wasteful number, since it uses less digits than its factorization.

102051111110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771720711 (or 1771720689 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 102051111110400 its reverse (4011111150201), we get a palindrome (106062222260601).

The spelling of 102051111110400 in words is "one hundred two trillion, fifty-one billion, one hundred eleven million, one hundred ten thousand, four hundred".