378900010100101 has 12 divisors (see below), whose sum is σ = 454979340635520. Its totient is φ = 314294939252280.

The previous prime is 378900010100089. The next prime is 378900010100123. The reversal of 378900010100101 is 101001010009873.

It is not a de Polignac number, because 378900010100101 - 2¹⁷ = 378900009969029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378900010100501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124720212471 + ... + 124720215508.

It is an arithmetic number, because the mean of its divisors is an integer number (37914945052960).

Almost surely, 2^{378900010100101} is an apocalyptic number.

378900010100101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

378900010100101 is a deficient number, since it is larger than the sum of its proper divisors (76079330535419).

378900010100101 is a wasteful number, since it uses less digits than its factorization.

378900010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249440428024 (or 249440428017 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

Adding to 378900010100101 its reverse (101001010009873), we get a palindrome (479901020109974).

The spelling of 378900010100101 in words is "three hundred seventy-eight trillion, nine hundred billion, ten million, one hundred thousand, one hundred one".