101013498000 has 240 divisors, whose sum is σ = 354646686576. Its totient is φ = 26796441600.

The previous prime is 101013497971. The next prime is 101013498049. The reversal of 101013498000 is 894310101.

It can be written as a sum of positive squares in 8 ways, for example, as 30242601216 + 70770896784 = 173904^2 + 266028^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3459462 + ... + 3488538.

Almost surely, 2^101013498000 is an apocalyptic number.

101013498000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101013498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177323343288).

101013498000 is an abundant number, since it is smaller than the sum of its proper divisors (253633188576).

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

101013498000 is a wasteful number, since it uses less digits than its factorization.

101013498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29299 (or 29280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 101013498000 in words is "one hundred one billion, thirteen million, four hundred ninety-eight thousand".