10120212202001 has 16 divisors (see below), whose sum is σ = 11063095344000. Its totient is φ = 9181142737920.

The previous prime is 10120212201947. The next prime is 10120212202003. The reversal of 10120212202001 is 10020221202101.

It is a cyclic number.

It is not a de Polignac number, because 10120212202001 - 2³⁰ = 10119138460177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120212202003) 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, 73237691 + ... + 73375743.

It is an arithmetic number, because the mean of its divisors is an integer number (691443459000).

Almost surely, 2^{10120212202001} is an apocalyptic number.

10120212202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120212202001 is a deficient number, since it is larger than the sum of its proper divisors (942883141999).

10120212202001 is a wasteful number, since it uses less digits than its factorization.

10120212202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151816.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120212202001 its reverse (10020221202101), we get a palindrome (20140433404102).

The spelling of 10120212202001 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred two thousand, one".