10001002202120 has 16 divisors (see below), whose sum is σ = 22502254954860. Its totient is φ = 4000400880832.

The previous prime is 10001002202101. The next prime is 10001002202131. The reversal of 10001002202120 is 2120220010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9989758992964 + 11243209156 = 3160658^2 + 106034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125012527487 + ... + 125012527566.

Almost surely, 2^{10001002202120} is an apocalyptic number.

10001002202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001002202120 is an abundant number, since it is smaller than the sum of its proper divisors (12501252752740).

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

10001002202120 is a wasteful number, since it uses less digits than its factorization.

10001002202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250025055064 (or 250025055060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10001002202120 its reverse (2120220010001), we get a palindrome (12121222212121).

The spelling of 10001002202120 in words is "ten trillion, one billion, two million, two hundred two thousand, one hundred twenty".