10121020102000 has 80 divisors (see below), whose sum is σ = 24473333151072. Its totient is φ = 4048291161600.

The previous prime is 10121020101991. The next prime is 10121020102009. The reversal of 10121020102000 is 20102012101.

It is an interprime number because it is at equal distance from previous prime (10121020101991) and next prime (10121020102009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121020102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112841172 + ... + 112930828.

Almost surely, 2^{10121020102000} is an apocalyptic number.

10121020102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121020102000 is an abundant number, since it is smaller than the sum of its proper divisors (14352313049072).

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

10121020102000 is an equidigital number, since it uses as much as digits as its factorization.

10121020102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146123 (or 146107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121020102000 its reverse (20102012101), we get a palindrome (10141122114101).

The spelling of 10121020102000 in words is "ten trillion, one hundred twenty-one billion, twenty million, one hundred two thousand".