101026435212450 has 72 divisors (see below), whose sum is σ = 296099297400816. Its totient is φ = 24491257020000.

The previous prime is 101026435212419. The next prime is 101026435212463. The reversal of 101026435212450 is 54212534620101.

101026435212450 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 6 + 435 + 212 + 4 + 5 + 0 = 666.

It is a super-3 number, since 3×101026435212450³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10204685476 + ... + 10204695375.

It is an arithmetic number, because the mean of its divisors is an integer number (4112490241678).

Almost surely, 2^{101026435212450} is an apocalyptic number.

101026435212450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101026435212450 is an abundant number, since it is smaller than the sum of its proper divisors (195072862188366).

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

101026435212450 is a wasteful number, since it uses less digits than its factorization.

101026435212450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20409380880 (or 20409380872 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 101026435212450 its reverse (54212534620101), we get a palindrome (155238969832551).

The spelling of 101026435212450 in words is "one hundred one trillion, twenty-six billion, four hundred thirty-five million, two hundred twelve thousand, four hundred fifty".