10120201102011 has 192 divisors, whose sum is σ = 18805303028736. Its totient is φ = 4674744576000.

The previous prime is 10120201102007. The next prime is 10120201102079. The reversal of 10120201102011 is 11020110202101.

It is not a de Polignac number, because 10120201102011 - 2² = 10120201102007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120201102091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415209621 + ... + 415233993.

It is an arithmetic number, because the mean of its divisors is an integer number (97944286608).

Almost surely, 2^{10120201102011} is an apocalyptic number.

10120201102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120201102011 is a deficient number, since it is larger than the sum of its proper divisors (8685101926725).

10120201102011 is a wasteful number, since it uses less digits than its factorization.

10120201102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24582 (or 24545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120201102011 its reverse (11020110202101), we get a palindrome (21140311304112).

It can be divided in two parts, 10 and 120201102011, that added together give a palindrome (120201102021).

The spelling of 10120201102011 in words is "ten trillion, one hundred twenty billion, two hundred one million, one hundred two thousand, eleven".