10200011022201 has 384 divisors, whose sum is σ = 20141812131840. Its totient is φ = 4497563750400.

The previous prime is 10200011022197. The next prime is 10200011022211. The reversal of 10200011022201 is 10222011000201.

It is not a de Polignac number, because 10200011022201 - 2² = 10200011022197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200011022211) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11245877190 + ... + 11245878096.

It is an arithmetic number, because the mean of its divisors is an integer number (52452635760).

Almost surely, 2^{10200011022201} is an apocalyptic number.

10200011022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200011022201 is a deficient number, since it is larger than the sum of its proper divisors (9941801109639).

10200011022201 is a wasteful number, since it uses less digits than its factorization.

10200011022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200011022201 its reverse (10222011000201), we get a palindrome (20422022022402).

The spelling of 10200011022201 in words is "ten trillion, two hundred billion, eleven million, twenty-two thousand, two hundred one".