102034041401120 has 96 divisors (see below), whose sum is σ = 255252671897328. Its totient is φ = 38410179084288.

The previous prime is 102034041401093. The next prime is 102034041401147. The reversal of 102034041401120 is 21104140430201.

It is an interprime number because it is at equal distance from previous prime (102034041401093) and next prime (102034041401147).

It can be written as a sum of positive squares in 8 ways, for example, as 48694214559376 + 53339826841744 = 6978124^2 + 7303412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38576132 + ... + 41136188.

Almost surely, 2^{102034041401120} is an apocalyptic number.

102034041401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102034041401120 is an abundant number, since it is smaller than the sum of its proper divisors (153218630496208).

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

102034041401120 is a wasteful number, since it uses less digits than its factorization.

102034041401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574742 (or 2574734 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 102034041401120 its reverse (21104140430201), we get a palindrome (123138181831321).

The spelling of 102034041401120 in words is "one hundred two trillion, thirty-four billion, forty-one million, four hundred one thousand, one hundred twenty".