1020101356125 has 192 divisors, whose sum is σ = 2062112712192. Its totient is φ = 482463590400.

The previous prime is 1020101356123. The next prime is 1020101356139. The reversal of 1020101356125 is 5216531010201.

1020101356125 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 10 + 1 + 35 + 612 + 5 = 666.

It is not a de Polignac number, because 1020101356125 - 2¹ = 1020101356123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101356123) 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, 29454319 + ... + 29488931.

It is an arithmetic number, because the mean of its divisors is an integer number (10740170376).

Almost surely, 2^{1020101356125} is an apocalyptic number.

1020101356125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020101356125 is an abundant number, since it is smaller than the sum of its proper divisors (1042011356067).

1020101356125 is a wasteful number, since it uses less digits than its factorization.

1020101356125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34741 (or 34728 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1020101356125 its reverse (5216531010201), we get a palindrome (6236632366326).

The spelling of 1020101356125 in words is "one trillion, twenty billion, one hundred one million, three hundred fifty-six thousand, one hundred twenty-five".