101201100011012 has 12 divisors (see below), whose sum is σ = 183208887951180. Its totient is φ = 48855703453536.

The previous prime is 101201100010979. The next prime is 101201100011021. The reversal of 101201100011012 is 210110001102101.

It can be written as a sum of positive squares in 2 ways, for example, as 67323764471236 + 33877335539776 = 8205106^2 + 5820424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101201100010984 and 101201100011002.

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, 436211637863 + ... + 436211638094.

It is an arithmetic number, because the mean of its divisors is an integer number (15267407329265).

Almost surely, 2^{101201100011012} is an apocalyptic number.

It is an amenable number.

101201100011012 is a deficient number, since it is larger than the sum of its proper divisors (82007787940168).

101201100011012 is a wasteful number, since it uses less digits than its factorization.

101201100011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872423275990 (or 872423275988 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101201100011012 its reverse (210110001102101), we get a palindrome (311311101113113).

The spelling of 101201100011012 in words is "one hundred one trillion, two hundred one billion, one hundred million, eleven thousand, twelve".