10121210201000 has 32 divisors (see below), whose sum is σ = 23683631872680. Its totient is φ = 4048484080000.

The previous prime is 10121210200973. The next prime is 10121210201009. The reversal of 10121210201000 is 10201212101.

It can be written as a sum of positive squares in 4 ways, for example, as 4988638392676 + 5132571808324 = 2233526^2 + 2265518^2 .

It is not an unprimeable number, because it can be changed into a prime (10121210201009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5060604101 + ... + 5060606100.

Almost surely, 2^{10121210201000} is an apocalyptic number.

10121210201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121210201000 is an abundant number, since it is smaller than the sum of its proper divisors (13562421671680).

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

10121210201000 is a wasteful number, since it uses less digits than its factorization.

10121210201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10121210222 (or 10121210208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121210201000 its reverse (10201212101), we get a palindrome (10131411413101).

The spelling of 10121210201000 in words is "ten trillion, one hundred twenty-one billion, two hundred ten million, two hundred one thousand".