102200121201000 has 64 divisors (see below), whose sum is σ = 318864378156480. Its totient is φ = 27253365652800.

The previous prime is 102200121200977. The next prime is 102200121201023. The reversal of 102200121201000 is 102121002201.

It is an interprime number because it is at equal distance from previous prime (102200121200977) and next prime (102200121201023).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 17033350534 + ... + 17033356533.

It is an arithmetic number, because the mean of its divisors is an integer number (4982255908695).

Almost surely, 2^{102200121201000} is an apocalyptic number.

102200121201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200121201000 is an abundant number, since it is smaller than the sum of its proper divisors (216664256955480).

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

102200121201000 is a wasteful number, since it uses less digits than its factorization.

102200121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34066707091 (or 34066707077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200121201000 its reverse (102121002201), we get a palindrome (102302242203201).

The spelling of 102200121201000 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, two hundred one thousand".