10201101102010 has 256 divisors, whose sum is σ = 24151211900928. Its totient is φ = 3014428032000.

The previous prime is 10201101101969. The next prime is 10201101102011. The reversal of 10201101102010 is 1020110110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10201101102011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150055047 + ... + 150123013.

It is an arithmetic number, because the mean of its divisors is an integer number (94340671488).

Almost surely, 2^{10201101102010} is an apocalyptic number.

10201101102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201101102010 is an abundant number, since it is smaller than the sum of its proper divisors (13950110798918).

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

10201101102010 is a wasteful number, since it uses less digits than its factorization.

10201101102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68189.

The product of its (nonzero) digits is 4, while the sum is 10.

10201101102010 divided by its sum of digits (10) gives a palindrome (1020110110201).

Adding to 10201101102010 its reverse (1020110110201), we get a palindrome (11221211212211).

The spelling of 10201101102010 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred two thousand, ten".